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代数A在子代数A^H上投射的若干充分条件
引用本文:祝家贵.代数A在子代数A^H上投射的若干充分条件[J].数学杂志,1999,19(3):349-353.
作者姓名:祝家贵
作者单位:安徽六安师范专科学校!六安237012
摘    要:假设H是域k上的有限维Hopf代数,A是H-模代数,本文刻画了A^HA的投射性并给出了A^HA是投射的若干充分条件,其中A^H是A的H-不变子代数。

关 键 词:smask积  投射  Hopf代数  H模代数  子代数

SOME SUFFICIENT CONDITIONS THAT A ALGEBRA A OVER THE SUBALGEBRA A~H IS TO BE PROJECTIVE
Zhu Jiagui.SOME SUFFICIENT CONDITIONS THAT A ALGEBRA A OVER THE SUBALGEBRA A~H IS TO BE PROJECTIVE[J].Journal of Mathematics,1999,19(3):349-353.
Authors:Zhu Jiagui
Abstract:Suppose H is a finite dimensional Hopf algebra over a field k and A an H module algebra.In this paper, we characterize the projectivity of A as a left A H module and give some easier checking sufficient conditions that A H A is projective, where A H is the subalgebra of H invariants of A .
Keywords:smash product  projective  hereditary  
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