Hopf　Galois扩张与Hopf模结构定理  

Hopf Galois Extensions and Structure Theorems of Hopf Modules

作　　者：陈惠香[1] 

机构地区：[1]扬州大学师范学院数学系

出　　处：《数学学报（中文版）》1995年第2期228-233,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：设Ｈ是域ｋ上任意的Ｈｏｐｆ代数。本文首先讨论了右Ｈ＿扩张Ａ／Ａ￣（ｃｏＨ）与Ｈｏｐｆ模范畴，给出了Ａ／Ａ￣（ｃｏＨ）为右Ｈ－Ｇａｌｏｉｓ扩张的充分必要条件和Ｈｏｐｆ模范畴满足结构定理的若干等价条件．然后我们讨论了不可约作用与除环的Ｇａｌｏｉｓ扩张．Let H be an arbitrary Hopf algebra over a field k.At first,we deal with the right H-extension A/A￣(coH) and the Hopf module category In this paper we give several sufficientand necessary conditions for A/A￣(coH) being right H-Galois extension, and several equivalentconditions for the Hopf module category satisfying the structure theorem. Then we discussthe irreducible actions and the Galois extensions of division rings.

关 键 词：SMASH积 GALOIS扩张 郝普夫代数 郝普夫模 

分 类 号：O153[理学—数学]