Partial and unified crossed products are weak crossed products

被引：5

作者：

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

Gonzalez Rodriguez, R. ^{[2
]}

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

机构：

[1] Univ Santiago de Compostela, Dept Alxebra, E-15771 Santiago De Compostela, Spain

[2] Univ Vigo, Dept Matematica Aplicada II, E-36310 Vigo, Spain

[3] Univ Corurna, Dept Matematicas, E-15071 La Coruna, Spain

来源：

HOPF ALGEBRAS AND TENSOR CATEGORIES | 2013年 / 585卷

关键词：

Unified crossed products; partial crossed products; weak crossed products;

D O I：

10.1090/conm/585/11619

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In Vilaboa, Rodgriguez, and Raposo (2009) the notion of a weak crossed product of an algebra by an object, both living in a monoidal category was presented. Unified crossed products defined in Agore and Militaru (2011) and partial crossed products defined in Muniz et al. (2011) are crossed product structures defined for a Hopf algebra and another object. In this paper we prove that unified crossed products and partial crossed products are particular instances of weak crossed products.

引用

页码：261 / +

页数：3