朱胜林的个人主页

 

 

朱胜林 (Zhu Shenglin)

复旦大学数学科学学院，教授
(Professor in Fudan University)

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通讯地址: 上海市， 复旦大学， 数学科学学院 邮政编码: 200433 电话: (21) 55664896 传真: (21) 65646073 办公室: 光华东楼 1708室 EMAIL: mazhusl [at] fudan [dot] edu [dot] cn

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研究方向 (Research Interest)

非交换代数：Hopf 代数及其作用，量子群，Hopf Algebras

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教学（Teaching)

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高等代数
I 每课一题

高等代数答疑时间安排：

由于有会务，原定答疑时间稍做改动，同学们可选在五日中午后前来答疑，晚上的答疑时间不变。请相互告知。为你带来不便，请谅解。谢谢！

 

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主要论文、著作
(Publications)

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专著 (Book)

 

Frobenius and separable functors for generalized module categories and nonlinear equations, Lecture Notes in Mathematics 1787, Springer, 2002.(with Caenepeel, Militaru)

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论文 (Papers)

1. Faithfully Flat Hopf Bi-Galois Extensions, Comm. in Algebras, 39: 2473–2488, 2011. (with C. Wang)
2. On Smash Products of Transitive Module Algebras, Chin. Ann. Math., 31B(4) (2010), 541–554. (with C. Wang)
3. Almost-triangular Hopf algebras, Algebra Repre. Theory, 10 (2007), 555–564) (with G. Liu)
4. Fundamental Theorems of Weak Doi-Hopf Modules and Semisimple Weak Smash Product Hopf Algebras, Communications in Algebra 32 (9) (2004), 3403–3416 (with L. Zhang)
5. Frobenius and Maschke Type Theorems for Doi-Hopf Modules and Entwined Modules Revisited: A Unified Approach, in Lecture Notes in Pure Appl.
   Math.,”Ring Theory and Algebraic Geometry”, edited by A. Granja, J. Hermida
   and A. Verschoren (eds.) v221, Dekker, Now York, 2001. (with Brzezinski,
   Caenepeel, Militaru)
6. Invariants of the adjoint coaction and Yetter-Drinfeld categories, J. Linear & Appl. Algebra, 159 (2001), 149–171. (with Cohen)
7. Separable functors for the category of Doi-Hopf modules II, 2000 Proceeding，Lecture Notes in Pure Appl. Math. vol. 209 (with Ion, Caenepeel, Militaru)
8. Smash biproducts of algebras and coalgebras, Algebras & Rep. Theory, 3 (2000), 19–42 (with Ion, Caenepeel, Militaru)
9. Separable Functors for category of Doi-Hopf modules, Applications, Advances Math., 145(2) (1999), 239-290 (with Ion, Caenepeel, Militaru)
10. Doi-Hopf modules, Yetter-Drin-fel’d modules and Frobenius type properties, Trans. Amer. Math. Soc., 349 (1997), 4311-4342 (with Caenepeel, Militaru)
11. A Maschke type theorem for Doi-Hopf modules and applications, J. Algebra, 187 (1997), 388–412 (with Caenepeel, Militaru)
12. Crossed modules and Doi-Hopf modules, Israel J. Math., 100 (1997), 221–247 (with Caenepeel, Militaru)
13. Determinants, integrality and Noether’s Theorem for quantum commutative algebras, Israel J. Math., 96 (1996), 185-222 (with Cohen, Westreich )
14. Integrality of module algebras over its invariants, J. Algebra, 180 (1996), 187-205.
15. On finite dimensional semisimple Hopf algebras, Comm. Algebra, 21 (1993), 3781-3885.
16. On rings over which every flat module is finitely projective, J. Algebra, 139 (1991).
17. A Note on Fuller’s Theorem, Chin. Ann. Math., 10B (1989).
18. On the equivalence of quotients category Mod-(R,F) with module category Mod-S, Comm. Algebra, 16 (1988), 1369-1661.

本主页于2010年8月4日更新。