南通大学学报:自然科学版2012,Vol.11Issue(2):75-77,3.
Smash余积余代数的有限对偶
Finite Duality of Smash Coproduct Coalgebras
摘要
Abstract
Let H be a cocommutative Hopf algebra over a field k. A and B be left H-module algebras, then (A B) # H is a smash product algebra. The relation of the finite duality of (A B) # H and the smash coproduct H (A B)° x H° are discussed. Then it is concluded that ((A B) # H) ° and H (A B)° x H° are isomorphic, as coalgebras.关键词
smash余积/有限对偶/Hopf代数/模代数Key words
smash coproduct/finite duality/Hopf algebra/module algebra分类
数学引用本文复制引用
吴美云,陈辉辉..Smash余积余代数的有限对偶[J].南通大学学报:自然科学版,2012,11(2):75-77,3.基金项目
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