On Hopf monoids in duoidal categories

被引：13
|
作者：
Boehm, Gabriella [1 ]
Chen, Yuanyuan [2 ]
Zhang, Liangyun [2 ]
机构：
[1] Wigner Res Ctr Phys, H-1525 Budapest, Hungary
[2] Nanjing Agr Univ, Dept Math, Nanjing 210095, Jiangsu, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2013年 / 394卷
关键词：
Duoidal category; Hopf monoid; Galois extension; Fundamental Theorem of Hopf Modules;
D O I：
10.1016/j.jalgebra.2013.07.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if the unit of A determines an A-Galois extension. Our findings are applied to the particular examples of small groupoids and of Hopf algebroids over a commutative base algebra. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：139 / 172
页数：34
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