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.
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收藏
页码：261 / +
页数：3
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