论文标题
Hochschild共同体，单体物体和单体类别
Hochschild Cohomology, Monoid Objects and Monoidal Categories
论文作者
论文摘要
本文进一步扩展了Hochschild共同体的类别理论表述，用于富含Abelian群体的单体类别中的单体物体，该类别已在Arxiv中进行了研究：1605.00842。该主题也在2019年4月在伊朗的ISCRA介绍。本文旨在提供更直观的表达，以表格对Hochschild Cochain Complex，并将定义扩展到Hochschild的共同体，并在Bimodule对象中具有值。此外，还提供了Abelian组类别中的Cosimimplicial对象的Hochschild Cochain复合物的等效表述。
This paper expands further on a category theoretical formulation of Hochschild cohomology for monoid objects in monoidal categories enriched over abelian groups, which has been studied in arXiv:1605.00842. This topic was also presented at ISCRA, Isfahan, Iran, April 2019. The present paper aims to provide a more intuitive formulation of the Hochschild cochain complex and extend the definition to Hochschild cohomology with values in a bimodule object. In addition, an equivalent formulation of the Hochschild cochain complex in terms of a cosimplicial object in the category of abelian groups is provided.
