On BiHom-L-R Smash Products

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-06-01 DOI:10.1142/s1005386723000202

Jia-feng Lü, Panpan Wang, Ling Liu

引用次数: 0

Abstract

Let [Formula: see text] be a BiHom-Hopf algebra and [Formula: see text] be an [Formula: see text]-BiHom-bimodule algebra, where the maps [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] are bijective. We first prove the Maschke-type theorem for the BiHom-L-R smash product over a finite-dimensional semisimple BiHom-Hopf algebra. Next we give a Morita context between the BiHom-subalgebra [Formula: see text] and the BiHom-L-R smash product [Formula: see text].

查看原文本刊更多论文

关于bihoml - r粉碎产品

设[公式:见文]是一个bihm - hopf代数，[公式:见文]是一个[公式:见文]- bihm -双模代数，其中映射[公式:见文]，[公式:见文]，[公式:见文]，[公式:见文]，[公式:见文]，[公式:见文]，[公式:见文]，[公式:见文]，[公式:见文]是双射。首先证明了有限维半简单bihoml - hopf代数上bihoml - r粉碎积的maschke型定理。接下来，我们给出了bihm -子代数[公式:见文]和bihm - l - r粉碎积[公式:见文]之间的一个Morita上下文。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.