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

共 50 条

[1] Partial and unified crossed products are weak crossed products
Fdez Vilaboa, J. M.
Gonzalez Rodriguez, R.
Rodriguez Raposo, A. B.
HOPF ALGEBRAS AND TENSOR CATEGORIES, 2013, 585 : 261 - +
[2] Crossed Products in Weak Contexts
Alonso Alvarez, J. N.
Fernandez Vilaboa, J. M.
Gonzalez Rodriguez, R.
Rodriguez Raposo, A. B.
APPLIED CATEGORICAL STRUCTURES, 2010, 18 (03) : 231 - 258
[3] Preunits and weak crossed products
Fernandez Vilaboa, J. M.
Gonzalez Rodriguez, R.
Rodriguez Raposo, A. B.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2009, 213 (12) : 2244 - 2261
[4] Crossed Products in Weak Contexts
J. N. Alonso Álvarez
J. M. Fernández Vilaboa
R. González Rodríguez
A. B. Rodríguez Raposo
Applied Categorical Structures, 2010, 18 : 231 - 258
[5] ON THE REPRESENTATIONS OF WEAK CROSSED PRODUCTS
Shen, Bing-Liang
Xiong, Bao-Lin
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (04)
[6] On Weak Crossed Products of Weak Hopf Algebras
Ling Liu
Bing-liang Shen
Shuan-hong Wang
Algebras and Representation Theory, 2013, 16 : 633 - 657
[7] On Weak Crossed Products of Weak Hopf Algebras
Liu, Ling
Shen, Bing-liang
Wang, Shuan-hong
ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (03) : 633 - 657
[8] Subdirect products of preadditive categories and weak equivalences
Facchini, Alberto
Fernandez-Alonso, Rogelio
APPLIED CATEGORICAL STRUCTURES, 2008, 16 (1-2) : 103 - 122
[9] Subdirect Products of Preadditive Categories and Weak Equivalences
Alberto Facchini
Rogelio Fernández-Alonso
Applied Categorical Structures, 2008, 16 : 103 - 122
[10] Morita equivalences between fixed point algebras and crossed products
Ng, CK
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1999, 125 : 43 - 52

← 1 2 3 4 5 →