دانشگاه آزاد اسلامی واحد گرمسار
۱۳۹۶ شنبه ۳ تير
معاونت پژوهشي و فناوري
 
سرپرست حوزه معاونت پژوهش و فناوري: دكتر اباصلت بداغي

  مرتبه علمي:‌ دانشيار پايه 10

abasalt.bodaghi@gmail.comپست الكترونيكي:

سايت اختصاصي: www.bodaghi.net

سوابق تحصيلي :

- كارشناسي دبيري رياضي از دانشگاه شيراز (76-1372).

- كارشناسي ارشد رياضي محض با گرايش هندسه ناجابجايي از  دانشگاه شهيد بهشتي تحت راهنمايي سركارخانم دكتر ويدا ميلاني (79-1376).

- دكتري رياضي‌ محض با گرايش آناليز از دانشگاه آزاد اسلامي واحد علوم و تحقيقات با عنوان پايان نامه " ارتباط اشتقاق ها و همومورفيسم ها روي جبر هاي باناخ" تحت راهنمايي آقاي دكتر عليرضا مدقالچي(87-1387). 

- پسا دكتري به مدت 2 سال (2012-2010) در دانشگاه پوترا مالزي.

 مقالات چاپ شده:

1-      A. Bodaghi, M. Eshaghi  Gordji and A. R. Medghalchi, A generalization of the  weak amenability of Banach algebras. , Banach J. Math. Anal. 3 (2009) no. 1, 131-142

2-      M. Amini, A. Bodaghi and D. Ebrahimi Bagha, Module Amenability of the Second Dual and Module Topological Center of Semigroup Algebras. Semigroup Forum, 80 (2010), 302-312.

3-      A. Bodaghi, M. Ettefagh, M. Eshaghi Gordji and A. R. Medghalchi, Module Structures on Iterated Duals of Banach Algebras.,  An. St. Univ. Ovidius Constanta, 18 (1) (2010), 63-80.

4-      A. Bodaghi, The Structure of  Module Contractible Banach algebras,  Int. J. Nonlinear Anal. Appl. 1 (2010), No.1, 6-11.

5-       M. Amini and A. Bodaghi, Module amenability and weak module amenability for second dual of Banach algebras. Chamchuri J. Math. 2 (2010), no. 1, 57-71.

6-      M. Eshaghi Gordji and A. Bodaghi, On the Heyers-Ulam-Rassias Stability Problem for Quadratic Functional Equations, East. Jour. Approximation. 16 (2010), no 2, 123-130.

7-      A. Bodaghi, Module amenability and tensor product of semigroup algebras, Journal of Mathematical Extension. 4, No. 2 (2010), 97-106.

8-       A. Bodaghi, Module (φ,ψ)-amenability of Banach algebras, 46 (2010), No. 4, 227-235Archivum Mathematicum.

9-      A. Bodaghi, M. Amini  and R. Babaee, Module derivation into iterated duals of Banach algebras.  Proceedings of the Romanian Academy-series A. 12, no 4 (2011), 277-284.

10-  A. Bodaghi, I. A. Alias and M. H. Ghahramani, Approximately cubic functional equations and cubic multipliers. Journal of inequalities and Applications, 2011, 2011:53, doi:10.1186/1029-242X-2011-53.

11- A. Bodaghi, I. A. Alias  and M. Eshaghi Gordji, On the stability of quadratic double centralizers and quadratic multipliers: A fixed point approach. Journal of Inequalities and Applications, Volume 2011 (2011), Article ID 957541, doi:10.1155/2011/957541.

12- M. Eshaghi Gordji and A. Bodaghi, On the stability of quadratic double centralizer  on  Banach algebras. Journal of Computational Analysis and Applications. 13, No. 4 (2011), 724–729.

13- M. Eshaghi Gordji, A. Bodaghi and C. Park, A fixed point approach to the stability of double Jordan centralizers and Jordan multipliers on Banach algebras. U. P. B. Sci. Bull., Series A, 73, no 2 (2011), 65-74.

14- B. Shojaee and A. Bodaghi, Approximate cyclic amenability of Banach algebras, Math. Sci. Quart. Jour. 5, no 1 (2011), 25-32.

15- A. Bodaghi, Module amenability of the projective module tensor productMalaysian Journal of Mathematical Sciences 5(2): 257-265 (2011).

16- A. Bodaghi, Hermitian metric on quantum spheres, Int. J. Nonlinear Anal. Appl. 2 (2011), No.1, 67-72.

17- A. Bodaghi, Module amenability and generalized notions of module amenability: A survey, MathDigest, Bulletin of INSPEM, 5 (2), 2011, 48-60.

18- M. Amini, A. Bodaghi, M. Ettefagh and C. K. Haghnejad Azar, Arens regularity and module Arens regularity of module actions. U. P. B. Sci. Bull., Series A, 74, no 2 (2012), 75-86.

19- C. Park and A. Bodaghi, On the stability of *-derivations on Banach *-algebras, Advances in Difference Equations. 2012, doi: 10.1186/1687-1847-2012-138.

20G. Zabandan, A. Bodaghi and A. Kilicman, The Hermite-Hadamard inequality for r-convex functions, Journal of Inequalities and Applications, 2012: 215. doi:10.1186/1029-242X-2012-215.

21- A. Bodaghi, M. Eshaghi Gordji and K. Paykan, Approximate multipliers and approximate double centralizers on Banach algebras: A fixed point approach. An. St. Univ. Ovidius Constanta, 20 (3) (2012), 21-32.

22- A. Bodaghi and M. Amini, Module character amenability of Banach algebras. Archiv der Mathematik, 99, no. 4 (2012), 353-365.

23- A. Bodaghi, I. A. Alias and M. H. Ghahramani, Ulam Stability of a Quartic Functional Equation. Abstract and Applied Analysis, Volume 2012, Article ID 232630, 9 pages, doi:10.1155/2012/232630.

24- A. Bodaghi and I. A. Alias,  Approximate ternary quadratic derivations on ternary Banach algebras and C*-ternary rings. Advances in Difference Equations. 2012: 11. 10.1186/1687-1847-2012-11.

25-  S. Y. Yang, A. Bodaghi and K. A. M. Atan, Approximate Cubic-AlgebrasAbstract and Applied Analysis, Volume 2012, Article ID 684179, 12 pages, doi:10.1155/2012/684179. *-Derivations on Banach *

26- A. Bodaghi, Module contractibility of semigroup algebras, Mathematics Scientific Journal, 7, No. 2 (2012), 5-18.

27-  A. Bodaghi, Semigroup algebras and their weak module amenability,  Journal of Applied functional Analysis, 7, no 4 (2012), 332-338.

28- A. Bodaghi and B. Shojaee, n-Jor.dan homomorphisms on C*-algebras, Journal of Linear and Topological Algebras, 1, No. 1 (2012), 1-7

29- A. Bodaghi, n-Homomorphism amenability, Proceedings of the Romanian Academy-series A, Volume 14, No. 2 (2013), 101–105.

30-  A. Bodaghi and M. Amini, Module biprojective and module biflat Banach algebras, U. P. B. Sci. Bull., Series A,  75, no 3 (2013), 25-36.

31-  E. W. Shin, S. M. Kwon, Y. T. Hyen and Y. H. Choi and A. Bodaghi, Approximately ternary homomorphisms on C*-ternary algebras. Abstract and Applied Analysis, (2013), Article ID 734025, DOI: 10.1155/2013/734025.

32- A. Bodaghi, S. Y. Jang and C. Park, On the stability Jordan *-Derivations pairs.  Results in Mathematics,  64 (2013), 289-303.

33- A. Bodaghi, M. Moosavi and H. Rahimi, The generalized cubic functional equations and the stability of cubic Jordan *-derivations, Annali dell'Università di Ferrara, 59 (2013), 235-250.

34- A. Bodaghi and C. Park, Jordan *-derivations and quadratic Jordan *-derivations on real C*-algebras and real JC*-algebras, International Journal of Geometric Methods in Modern Physics. 10, No. 10 (2013) 1350051 (16pages), DOI:10.1142/S0219887813500515.

35-  A. Bodaghi and S. O. Kim, Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces, Abstract and Applied Analysis. 2013, Article ID 198018,10pages.

36- A. Bodaghi, Cubic derivations on Banach algebras, Acta Mathematica Vietnamica, 38, No. 2 (2013), 517-528.

37- H. Pourmahood Aghababa and A. Bodaghi, Module approximate amenability of Banach algebras, Bulletin of Iranian Mathematical Society39, No. 6 (2013), 1137-1158.

38- A. Bodaghi, F. Anousheh and S. Etemad, Generalized Notion of Character Amenability, Journal of Linear and Topological Algebras,2, No. 4 (2013), 185-194.

39- A. Bodaghi, Ulam stability of a cubic functional equation in various spaces. Mathematica. 55, No. 2 (2013), 125-141.

40- A. Bodaghi, Stability of a quartic functional equation. The Scientific World Journal. Volume 2014, Article ID 752146,9 pages.

41- A. Bodaghi and S. O. Kim, Approximation on the quadratic reciprocal functional equation, Journal of Function Spaces. Volume 2014, Article ID 532463, 5 pages.

42- A. Bodaghi, Generalized notion of  weak module amenability, Hacettepe Journal of Mathematics and Statistics. 43 (1) (2014), 85-95.

43- A. Bodaghi and B. Shojaee, A generalized notion of  n-weak amenability, Mathematica Bohemica. 139, No. 1 (2014), 99-112.

44- A. Bodaghi and G. Zabandan, On the stability of quadratic (*-) derivations on (*-) Banach algebras, Thai Journal of Mathematics. 12, No. 2 (2014), 343-356.

45- K. Ravi, J. R. Rassias, B. V. Senthil Kumar and Abasalt Bodaghi, Intuitionistic Fuzzy Stability of a Reciprocal-Quadratic Functional Equation, International Journal of Applied Science and Mathematics. 1, Iss. 1 (2014), 9-14.

46A. Bodaghi, Stability of a mixed type additive and quartic functional equation. Filomat. 28 (8) (2014), 1629-1640.

47- A. Bodaghi and N. Pargali, An application of Ulam-Hyers stability in DC motors, International Journal of Applied Power Engineering. (2014)

48- A. Bodaghi and S. O. Kim, Ulam's type stability of a functional equation deriving from quadratic and additive functions. Journal of Mathematical Inequalities. 9, No. 1 (2015), 73-84.

49- A. Bodaghi and M. Peyvaste, 3-Homomorphism amenability of Banach algebras. U. P. B. Sci. Bull., Series A, 77, Iss. 2 (2015), 105-116.

50- A. Bodaghi Quintic Functional Equations in Non-Archimedean Normed Spaces, Journal of Mathematical Extension.9, No. 3 (2015), 51-63.

51- A. Bodaghi and A. Jabbari, Module biflatness of second dual of Banach algebras. Mathematical Reports. 17 (67), 2 (2015), 235-247.

52- S. O. Kim, A. Bodaghi and C. Park, Stability of a functional inequalities associated with the Cauchy-Jensen additive functional equalities in non-Archimedean Banach spaces, Journal of Nonlinear Science and Applications, 8 (2015), 776-786.

53- A. Bodaghi, J. M. Rassias and C. Park Fundamental stabilities of an alternative quadratic reciprocal functional equation in non-Archimedean fields, Proceedings of the Jangjeon Mathematical Society. 18, No.2 (2015), 313-320.

54- B. Shojaee and A. Bodaghi, A generalization of cyclic amenability of Banach algebras, Mathematica Slovaca, 65, No. 3 (2015), 633-644.

55- A. Bodaghi and A. Jabbari, n-Weak module amenability of triangular Banach algebras, Mathematica Slovaca, 65, No. 3 (2015), 645-666.

56- A. Bodaghi, P. Narasimman, K. Ravi and B. Shojaee, Mixed Type of Additive and Quintic Functional Equations, Annales Mathematicae Silesianae. 29 (2015), 35–50.

57- F. Anousheh, D. Ebrahimi Bagha and A. Bodaghi, Weak amenability for the second dual of Banach modules. Open Mathematics, 13 (2015), 663-670.

58- K. Haghnejad Azar, A. Bodaghi and A. Jabbari, Some notes on the topological centers of module actions. Iranian Journal of Science and Technology. 39 (2015), 417-431.

59- A. Bodaghi, P. Narasimman, J. M. Rassias and K. Ravi, Ulam stability of the reciprocal functional Equation in non-Archimedean fields. Acta Mathematica Universitatis Comenianae. 85 (1) (2016), 113-124.

60- B. Shojaee and A. Bodaghi, Approximate weak amenability of certain Banach algebras. Mathematical Reports. 18 (68), 1 (2016), 137-149.

61- F. Anousheh, D. Ebrahimi Bagha and A. Bodaghi, Character amenability for a Banach module. Advanced Studies in Contemporary Mathematics. 26, No. 2 (2016), 277-284.

62- A. Bodaghi, Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations. Journal of Intelligent and Fuzzy Systems. 30 (2016) 2309–2317

63- F. Anousheh, D. Ebrahimi Bagha and A. Bodaghi, Approximate amenability for Banach modules. U. P. B. Sci. Bull., Series A. 78, Iss. 2, 2016, 79-90.

64- A. Bodaghi, H. Ebrahimi, M. Lashkarizaheh and M. Nemati, Module Mean for Banach algebras. U. P. B. Sci. Bull., Series A.  78, Iss. 2, 2016, 21-30.

65- A. Bodaghi and Y. Ebrahimdoost, On the stability of quadratic reciprocal functional equation in non-Archimedean fields. Asian-European Journal of Mathematics. Vol. 9, No. 1 (2016) 1650002 (9 pages).

66- M. Arunkumar, A. Bodaghi, J. M. Rassias and E. Sathya, The general solution and approximations of a decic type functional equation in various normed spaces.  Journal of the chungcheong Mathematical Society, 29, No. 2 (2016), 287-328.

67-  B. Shojaee and A. Bodaghi, Some results on approximate character amenability of Banach algebras. Acta Mathematica Universitatis Comenianae. 85 (2) (2016), 197-204.

68- A. Bodaghi, C. Park and J. M. Rassias, Fundamental Stabilities of the Stability of Nonic Functional Equations in Intuitionistic fuzzy normed spaces. Communication in the Korean Mathematical Society. 31 (2016), No. 4, 729–743.

69- S. O. Kim, A and Bodaghi, Hyperstability of Jordan triple derivations on Banach algebras, Acta Mathematica Vietnamica. 41 (2016), 583–594.

70- A. Bodaghi, Approximate mixed type additive and quartic functional equation. Boletim da Sociedade Paranaense de Matematica (BSPM), 35 (1) (2017), 43-56.

71- S. O. Kim, B. V. Senthil Kumar and A. Bodaghi,  Approximation on the reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields, Advances in Difference Equations, (2017) 2017:77, DOI 10.1186/s13662-017-1128-z.

72- A. Bodaghi, H. Ebrahimi and M. Lashkarizaheh, Generalized notions of module character amenability. Filomat. 31, No. 6 (2017), 1639–1654.

73- P. Narasimman and A. Bodaghi, Solution and stability of a mixed type functional equation, Filomat, 31, No. 5 (2017), 1229–1239.

   مقالات پذيرش شده:

1- Annals of the Alexandru Ioan Cuza University Mathematics. A. Bodaghi, D. Kang and J. M. Rassias, The mixed cubic-quartic functional equation.

2-      A. Bodaghi, M. Amini and A. Jabbari, Permanent weak module amenability of semigroup algebras, Annals of the Alexandru Ioan Cuza University – Mathematics.

3-      A. Bodaghi and A. Jabbari, Module Pseudo-amenability of Banach algebras. Annals of the Alexandru Ioan Cuza University – Mathematics.

4-       C. Park, A. Bodaghi and S. O. Kim A fixed point approach to stability of additive mappings in modular spaces without conditions. Journal of Computational Analysis and Applications.

5-      E. Mostofian, M. Azhini and A. Bodaghi Fuzzy inner product spaces and fuzzy orthogonality. Journal.Tbilisi Math.

6-      A. Bodaghi and H. Inceboz, n-Jordan homomorphisms on commutative algebras, Mathematical Sciences.

7- A. Minapoor, A.Bodaghi and D. E. Bagha, Ideal Connes-amenability of dual Banach algebras, Journal of Mathematics.Mediterranean

 

 مقالات در دست داوري:                        

1-      Stability of the general form of quadratic-quartic functional equations in non-Archimedean L-fuzzy normed spaces. (with P. Narasimman).

2-      Module amenability of module commutative Banach algebras. (with B. Shojaee).

3-      A new type of the additive functional equations on intuionistic fuzzy norms spaces. (with M. Arunkumar, E. Sathya and T. Namachivayam).

4-      Module amenability and module Arens regularity of weighted semigroup algebras. (with G. Asgari and D. Ebrahimi Bagha).

5-      Module symmetrically amenable semigroup algebras. (with B. Arslan and H. Inceboz).

6-      Extension of Zelazko's theorem to n-Jordan homomorphisms. (with H. Inceboz)

7-      Intuitionistic fuzzy stability of the heptic functional equation.

8-      Some module cohomologial properties of Banach algebras. (with E. Ilka and A. Mahmoodi)

9-      Character inner amenability of semigroups. (with A. Jabbari).

10- Generalization of the weak amenability of various Banach algebras. (with A. Jabbari and M. E. Gordji).  

11- On ideal amenability of the tensor product of Banach algebras, (with A. Minapoor and D. E. Bagha).

12- Fuzzy inner product spaces and fuzzy orthogonality. (with E. Mostofian and M. Azhini)

13- Extensions of some results in fuzzy inner product spaces. (with E. Mostofian and M. Azhini).

14- (with).

15- Differential inverse power series rings with quasi-Armendariz-like condition. (with K. Paykan)

16- Quotient ideal amenability of Banach algebras.(with A. Teymouri and D. Ebrahimi Bagha).

17- On deal amenability of module extension Banach algebras. .(with A. Teymouri and D. Ebrahimi Bagha).

18- Module cohomological properties of the Fourier algebra of an inverse semigroup, (with M. Amini and R. Rezavand).

19- Approximate n-dimensional additive functional equation in various Banach Spaces, (with M. Arunkumar and E. Sathya).

20- Operator Connes-amenability of completely bounded multiplier Banach algebras, (with B. Hayati and M. Amini).

21-  Estimation of inexact reciprocal-quintic and reciprocal-sextic functional equations, (with B. V. Senthil Kumar)

22- General solution and Ulam-Hyers stability of viginti functional equations in multi-Banach spaces, (with M. Ramdoss and A. R. Aruldass).

23- Stability for the third order linear ordinary differential equation (with M. Ramdoss and P. Arumugam)

 ارائه سخنراني هاي  داخلي و خارجي :

1-    Module Super-amenabiliy, homomorphisms and inverse semigroup algebras,  The 18th  Seminar on Mathematical Analysis and its Applications, April 15-16, 2009. Tarbiat Moallem University, Karaj, Iran.

2- Module Multiplier of Semigroup Algebras. The 5th Asian Mathematical Conference, Malaysia, June 22-26, 2009.

3-  Module amenability and weak module amenability for second dual of Banach algebras, ICMA 2010, Bangkok, Thailand.

4-A different proof for the stability of double centralizers on Banach algebras, International Seminar on the Application of Science & Mathematics, Kulala Lumpur, Malaysia, 1-3 November 2011.

5-Continuity of involuting n-Jordan homomorphisms between commutative algebras, International Seminar on the Application of Science & Mathematics, 1-3 November 2011, Kulala Lumpur, Malaysia.

6- n-homomorphism amenability for group algebras, International Conference in Mathematics and Applications, Ho Chi Minh City, Vietnam, 20-22 December 2011.

7-  On the stability of a quartic functional equation, International Conference in Mathematics and Applications, Ho Chi Minh City, Vietnam, 20-22 December 2011.

8-Various notions of module amenability for semigroup algebras, The First Seminar on Harmonic Analysis and Applications, Isfahan, Iran, 2013.

9- Operator Connes-amenability of completely bounded multiplier Banach algebras, 26th Conference on Operator Theory, University of the West in Timisoara, Timisoara (Romania) June 27-July 2, 2016.

10-Ulam's type stability of various mixed functional equations, Conference on Ulam’s Type Stability, Cluj-Napoca, Romania, 4-9 July, 2016.

جوايز و افتخارات:

-مدال نقره مسابقات اختراعات، تحقيق و نو آوري دانشگاه پوترا مالزي در سال 2011

-جايزه عملكرد درخشان موسسه تحقيقاتي دانشگاه پوترا مالزي در سال 2010

-پژوهشگر برتر دانشكده علوم پايه واحد گرمسار در سال 1390.

-استاد نمونه واحد گرمسار در سال 1394.

- پژوهشگربرتر واحد گرمسار در سال 1394

- پژوهشگربرتر باشگاه پژوهشگران جوان و نخبگان واحد اسلامشهر در سال 1395

 دوره تحقيقاتي:

گذراندن دوره پژوهشي پست دكتري به مدت 2 سال (2010-2011) در دانشگاه پوترا مالزي

 تاليف شش جلد كتاب:

1- Module amenability of Banach algebras, Lambert Academic Publishing,Germany, 2012.

2- محاسبات عددي، بداغي و ديگران در سال 1395

3- متغير هاي مختلط و كاربردها در سال 1390 (با هم كاري نجفي تواني و كرمي).

4- توابع مختلط (حل مسايل كتاب توابع مختلط پيام نور تاليف دكتر جلو دار ي ممقاني) با همكاري ديگران در سال 1390.

5- رياضي عمومي 1 در سال 1383 (با هم كاري منصور پاكپور) .

6- رياضي عمومي 2 در سال 1383 (با هم كاري منصور پاكپور) .

دبيري همايش و مجلات:

1- عضو كميته علمي اولين كنفرانس علمي دانشجويان ايراني در مالزي(2011)

2- عضو كميته اجرايي كنفرانس بين المللي رياضيات و زيست شناسي محاسباتي در مالزي(2011)

3- عضو كميته علمي سمينار آناليز رياضي ايران و كاربردها در همدان (1393)

4- اديتور اصلي شماره ويژه مجله رياضي انتشارات هينداوي (2017-2016)

داور مجلات:

1-Abstract and Applied Analysis
2-Mathematic Scientific Journal
3-Journal of Inequalities and Applications
4-Journal of Linear and Topological Algebras
5-Mathematica Slovaca
6-International Journal of Nonlinear Analysis and Applications
7-Journal of Mathematical Extension
8-Journal of Function Spaces
9-Quaestiones Mathematicae
10-Boletim da Sociedade Paranaense de Matemática
11-Advances in Pure and Applied Mathematics
12-General Mathematics Notes
13-Journal of the Nigerian Mathematical Society
14-Journal of Interpolation and Approximation in Scientific Computing
15-Sahand Communications in Mathematical Analysis
16-Journal of Interpolation and Approximation in Scientific Computing
17-Communication of the Korean Mathematical Society
18-Annales Mathematicae Silesianae

- تدريس دروس دكتري: آناليز هارمونيك و جبرهاي باناخ

- تدريس دروس ارشد: آناليز تابعي و آناليز حقيقي ، رياضي مهندسي پيشرفته.

- تدريس دروس كارشناسي: رياضي‌ عمومي‌ 2،1 ، معادلات ديفرنسيل ، آناليز رياضي 1، 2  و3، جبر خطي‌ مباني رياضي‌ ، رياضي مهندسي،  توابع مختلط، توپولوژي عمومي،‌             

 مجري طرح هاي پژوهشي:

1- مباحثي در ميانگين پذيري جبر هاي باناخ

2- ميانگين پذيري مدولي و ميانگين پذيري قوي مدولي جبر هاي باناخ

3- جبر هاي باناخ دو تصويري مدولي و دو تختي مدولي

استاد راهنما و مشاور:

 1- دانشجوي كارشناسي ارشد :4

2 -دانشجوي دكتري:6

 سوابق اجرايي:

1- مدير گروه علوم پايه واحد گرمسار سالهاي 89 و 92 و 95

2- عضو كارگروه بررسي صلاحيت علمي رشته رياضي هيات جذب استان سمنان از سال 91 تا 93

3-مدير پژوهش و فناوري واحد گرمسار سال 94

4- معاون پژوهش و فناوري واحد گرمسار سال 95

 
تاریخ به روز رسانی: 1396/03/29
تعداد بازدید: 1108
امتیازدهی
میانگین امتیازها:4.25 تعداد کل امتیازها:4
دانشگاه آزاد اسلامی واحد گرمسار
آدرس: گرمسار، ميدان دانشگاه، خيابان دانشجو، دانشگاه آزاد اسلامي واحد گرمسار
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