Equivalences for Weak Crossed Products

被引：2

作者：

Fernandez Vilaboa, J. M. ^{[1
]}

Gonzalez Rodriguez, R. ^{[2
]}

Rodriguez Raposo, A. B. ^{[3
]}

机构：

[1] Univ Santiago de Compostela, Dept Alxebra, Santiago De Compostela, Spain

[2] Univ Vigo, Dept Matemat Aplicada 2, Campus Univ Lagoas Marcosende, E-36310 Vigo, Spain

[3] Univ A Coruna, Dept Matemat, Escuela Politecn Super, Ferrol, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 10期

关键词：

Equivalent crossed products; Preunit; Monoidal category; Weak crossed product; 18D10; 16T10; 16T15; HOPF-ALGEBRAS; BIALGEBRAS;

D O I：

10.1080/00927872.2015.1094484

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we find the conditions that assures the equivalence between two weak crossed biproducts. As an application, we show that the main results proved by Panaite in [12] (see also [11]), for Brzeziski's crossed products, admits a substantial reduction in the imposed conditions.

引用

页码：4519 / 4545

页数：27

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