Hopf模代数的反单根(英文)

Antisimple Radical of Hopf Module Algebras 

英文关键词:Hopf algebra  radical theory  special H-radical  antisimple H-radical.

中文摘要:

      设Ｈ为域上Ｈｏｐｆ代数．本文定义了Ｈ－模代数Ａ的反单Ｈ－根Ａ_ｓ（Ａ），证明了Ａ_ｓ（－）为特殊Ｈ－根且给出反单Ｈ－模代数的各种刻画

英文摘要:

      Let H be a Hopf algebra over a field. The antisimple H-radical A s(A) for a H-module algebra A is defined. A s(-) is shown to be a special H-radical and varies characterizations of antisimple H-module algebras are given.