DOI-HOPF MODULES ASSOCIATED TO COMODULE COALGEBRAS

被引：0

作者：

Dascalescu, S. ^{[1
]}

Nastasescu, C. ^{[1
]}

Toader, B. ^{[2
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, RO-010014 Bucharest 1, Romania

[2] Dimitrie Cantemir Christian Univ, Fac Tourist & Commercial Management, Bucharest, Romania

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 05期

关键词：

Comodule algebra; Comodule coalgebra; C; H-comodule; Doi-Hopf module; Hopf algebra with nonzero integral; Semiperfect coalgebra; Smash coproduct;

D O I：

10.1080/00927872.2011.651763

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To any right comodule coalgebra C over a Hopf algebra H we associate a left H-comodule algebra A. Under certain conditions, in particular in the case where H has nonzero integrals, we show that the category of right C, H-comodules is isomorphic to a certain subcategory of the category of Doi-Hopf modules associated to A. As an application, we investigate the connection between C and the smash coproduct C?H being right semiperfect.

引用

页码：1854 / 1864

页数：11

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