Cleft comodule algebras for a bialgebra

Cleft comodule algebras for a bialgebra
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DOI:
10.1080/00927878608823337
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发表时间:
1986
影响因子:
0.7
通讯作者:
Doi Yukio;Takeuchi Mitsuhiro
Doi Yukio;Takeuchi Mitsuhiro
中科院分区:
数学3区
文献类型:
--
作者:
Doi Yukio;Takeuchi Mitsuhiro

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微模代数理论是一门新兴的学科,它起源于非变环的Hopf伽罗瓦理论和仿射代数群的不变理论(参见[4]和[7])。Hopf模和积分的概念在本课题中是有用的工具(参见[1],[2]和[31])。本文考虑双代数的模代数,并推广了[3]中的一些结果。在整个过程中,我们自由地使用161的符号。
The theory of comodule algebras is a new subject with roots in the Hopf Galois theory of non-sommutative rings and in the invariant theory of affine algebraic groups (cf.[4] and [7]). The notions of Hopf modules and integrals are useful tools in this subject (cf.[l],[2] and [31). In this paper we will consider comodule algebras for a bialgebra and generalize some results in [3]. Throughout we freely use the notations of 161.