关于bihoml - r粉碎产品

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

Jia-feng Lü, Panpan Wang, Ling Liu

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引用次数: 0

摘要

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。

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On BiHom-L-R Smash Products

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].

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