مسعود طوسی اردکانی
استاد
گروه رياضي, دانشكده علوم ریاضی
29902907 : تلفن
: آدرس الکترونیکی
: آدرس وب سایت
دانشگاه شهید بهشتی-دانشکده علوم ریاضی آدرس :
مقالات علمي و کتب منتشر شده
سوابق تدريس
جوايز علمي
عضويت در مراکز علمي و پژوهشي
زمينه تخصصي
سوابق کاري
علايق پژوهشي
سوابق تحصيلي
سوابق تدریسی


1- دانشگاه تهران از سال 1368 تا سال 1373
2- دانشگاه شهید بهشتی از سال 1376 تااكنون

سوابق تحصیلی


1- دوره کارشناسی ارشد خود را در سال 1368 در رشته ریاضی در دانشگاه تهران به پایان رسانده ام.
عنوان رساله : کسرهای تعمیم یافته ، ماتریسها و نگاشتهای دترمینانی و تئوری بعد
2- دوره دکتری خود را در سال 1373 در شاخه جبر جابجایی در دانشگاه تهران به پایان رسانده ام.
عنوان رساله :
Generalized Hughes complexes and action certain Groups on certin modules
And complexes

علایق پژوهشی


1- همبافت هیوز تعمیم یافته
(Generalized Hughes complexes)
همبافت کوزین (Cousin complex)
همبافت کسرهای تعمیم یافته
(complex of modules of generalized fraction)
2- همبافت دوگان (Dualizing complex)
3- ایدال های اول وابسته و رفتار مجانبی آنها
(Associated Prime ideal and their asymptotic behaviour)
4- برخی نظریه های دوگان در جبر جابجایی
(On dual of some notions in commutative algebra)

5- مجموعه های منفرد یک مدول (Singular sets of modules)
6- مدولهای کوهمولوژی موضعی (Local cohomology of modules)
7- حاصل ضرب تانسوری جبرها روی میدان
8- مدولهای انژکتیو خالص
9- بعدهای همولوژیک گرنشتاین

مقالات علمی و کتب منتشر شده
  • 1. With Sharp, R. Y.; Comparison of complexes of modules of generalized fractions and generalized Hughes complexes, Glasgow Math. J. 37 (1995), 55–64.
  • 2. With Sharp, R. Y.; A characterization of generalized Hughes complexes, Math. Proc.
    Cambridge Philos. Soc. 120 (1996), 71–85.
  • 3. With Ahmadi-Amoli, Kh.; On the singular sets of modules, Comm. Algebra 24
    (1996), 3839–3844.
  • 4. With Bijan-Zadeh, M. H., Tehranian. A.; On the singular sets of a module, Proceed- ings of the 27th Annual Iranian Mathematics Conference (Shiraz, 1996), 399–402, Shiraz Univ., Shiraz, 1996.
  • 5. With Tehranian, A.; Co-Cohen-Macaulay modules over commutative rings, Technical
    Report IPM, 154 (1996).
  • 6. With Jabbari, S. H., Zakeri. H.; On the comparison of complexes of modules of generalized functions and generalized Hughes complexes, Honam Math. J. 19 (1997), 1–20.
  • 7. With Divaani-Aazar, K.; Asymptotic associated and attached prime ideals related to projective modules, Comm. Algebra 25 (1997), 1129–1142
  • 8. Generalized Hughes complexes and ring homomorphisms, Algebra Colloq. 5 (1998),
    337–346.
  • 9. With Khashyarmanesh, K., Salarian. Sh.; On the local homology theory for Artinian modules, Acta Math. Hungar. 81 (1998), 109–119.
  • 10. With Dibaei, M. T.; The structure of dualizing complex for a ring which is (S2), J.Math. Kyoto Univ. 38 (1998), 503–516.
  • 11. With Divaani-Aazar, K.; Some remarks on coassociated primes, J. Korean Math.
    Soc. 36 (1999), 847–853.
  • 12. With Divaani-Aazar, K.; Asymptotic prime ideals related to exact functors, Comm.
    Algebra 27 (1999), 3949–3968.
  • 13. With Divaani-Aazar, K.; Asymptotic attached prime ideals related to flat modules, Algebra colloquium 6 (1999), 193–204.
  • 14. With Dibaei, M. T.; Characterization of rings and modules with serre condition (Sn), Southeast Asian Bull.Math. 23 (1999), 213–219.
  • 15. With Divaani-Aazar, K.; A new defination of associated prime ideals, Ital. J. Pure
    Appl. Math. 8 (2000), 99–113.
  • 16. A note on the dual of Burch’s inequality, J. Pure Appl. Algebra 149 (2000), 101–104.
  • 17. With Dibaei, M. T.; A generalization of the dualizing complex structure and its application, J. Pure Appl. Algebra 155 (2001), 17–28.
  • 18. With Zakeri, H.; Action of certain groups on local cohomology modules and Cousin complexes, Algebra Colloq. 8 (2001), 441–454.
  • 19. With Pournaki, M. R.; A note on the countable union of prime submodules, Int. J.
    Math. Math. Sci. 27 (2001), 641–643.
  • 20. With Divaani-Aazar, K., Naghipour. R.; The Lichtenbum-Hartshorne theorem for generalized local cohomology and connectedness, Comm. Algebra 30 (2002), 3687–3702.
  • 21. With Divaani-Aazar, K., Naghipour. R.; Cohomological dimension of certain alge- braic varites,, Proc. Amer. Math. Soc. 130 (2002), 3537–3544.
  • 22. With Yassemi, S.; Tensor product of some special rings, J. Algebra, 268 (2003),
    672–676.
  • 23. With Divaani-Aazar, K., Sazeedeh, R.; On vanishing of generalized local cohomology, Algebra Colloq., 12 (2005), 213–218.
  • 24. With Divaani-Aazar, K.; Localization of tight closure in two dimensional rings, Proc.
    Indian Acad. Sci. Acad. Math. Sci. 115 (2005), 51–56.
  • 25. With Yassemi, S; Catenary, locally equidimensional, and tensor product of algebras, Comm. Algebra, 33 (2005), 1023–1029.
  • 26. With Pournaki, M. R.; Explicit description of a class of indecomposable injective modules, Acta Math. Sci. Ser. B Engl. Ed., 25 (2005), 511–514.
  • 27. With Yassemi, S.; Sequentially Cohen-Macaulay modules under base change, Comm.
    Algebra 33 (2005), 3977–3987.
  • 28. With Yassemi, S.; Tensor products of clean rings, Glasgow Math. J. 47 (2005),
    501–503.
  • 29. With Tehranian, A., Yassemi, S.; Strong Gorenstein test modules, Comm. Algebra
    34 (2006), 879–882.
  • 30. With Divaani-Azar, K., Esmkhani, M. A.; Two characterization of pure injective modules, Proc. Amer. Math. Soc. 134 (2006), 2817–2822.
  • 31. With Divaani-Azar, K., Esmkhani, M. A.; Some criteria of cyclically pure injective modules, J. Algebra 304 (2006), 367–381.
  • 32. With Pournaki, M. R., Yassemi, S.; Tensor products of approximately Cohen-Macaulay rings, Comm. Algebra 34 (2006), 2857–2866.
  • 33. With Esmkhani, M. A.; Gorenstein homological dimensions and Auslander cate- gories, J. Algebra 308 (2007), 321–329.
  • 34. With Esmkhani, M. A.; Gorenstein injective modules and Auslander categories, Arch. Math. (Basel) 89 (2007), 114–123.
  • 35. With Tehranian, A., Yassemi, S.; Characterizing local rings via test modules, Comm. Algebra 35 (2007), 2524–2532.
  • 36. With Sabzrou, H.; Associated and attached primes of some graded modules over semigroup rings, Comm. Algebra 35 (2007), 2793–2809.
  • 37. With Sabzrou, H.; Local cohomology at monomial ideals in R-sequences, Comm.
    Algebra 36 (2008), 37–52.
  • 38. With Yassemi, S.; The Lichtenbaum-Hartshorne theorem for modules which are finite over a ring homomorphism, J. Pure Appl. Algebra 212 (2008), 1222–1228.
  • 39. With Sabzrou, H., Yassemi, S.; Simplicial join via tensor product, Manuscripta math.
    126 (2008), 255–272.
  • 40. With Asgharzadeh, M.; A unified approach to local cohomology modules using Serre classes, To appear in Canadian Mathematical Bulletin.
  • 41. With Asgharzadeh, M., Divaani-Azar, K.; The finiteness dimension of local coho- mology modules and its dual notion, J. Pure Appl. Algebra, 213(3), (2009), 321-328.
  • 42. With Khatami, L., Yassemi, Y.; Finiteness of Gorenstein injective dimension of modules, Proc. Amer. Math. Soc. 137 (7), (2009), 2201-2207.
  • 43. With Asgharzadeh, M.; Cohen-Macaulayness with respect to Serre classes, To appear in Illinois J. Math.
  • 44. With Divaani-Azar, K., Esmkhani, M. A.; A criterion for rings which are locally valuation, To appear in Colloquium Mathematicum.
  • 45. With Tehranian, A., Yassemi, S.; Attached primes of local cohomology modules finite over a ring homomorphism, To appear in Algebra Colloquium.
  • 46. With Esmkhani, M. A.; Duality for a Cohen-Macaulay local ring, To appear in
    Comm. Algebra.
  • 47. With Asgharzadeh, M.; On the notion of Cohen-Macaulayness for non-Notherian rings, J.Algebra ,322, (2009) , 2297-2320.
زمینه تخصصی

1- جبر جابجایی
2- جبر همولوژی

دروس ارائه شده

درسهای کارشناسی :
مبانی ریاضیات
مبانی هندسه
جبر 1، 2، 3
جبر خطی
نظریه اعداد
هندسه جبری مقدماتی
ریاضیات گسسته
ریاضیات عمومی 1 

• درسهای تحصیلات تکمیلی
جبر پیشرفته
جبر جابجایی 1، 2
جبر همولوژی
کوهمولوژی موضعی
حلقه های کوهن مککولی
هندسه جبری 1