Factorizable enriched categories and applications

JOURNAL OF ALGEBRA

卷:348

Article

Bardes, Aura¹  Stefan, Dragos¹ 

[1] Univ Bucharest, Fac Math & Informat, RO-010014 Bucharest, Romania

关键词: Enriched category;    Twisting system;    Twisted tensor product;    Matched pair;    Bicrossed product;   

DOI  :  10.1016/j.jalgebra.2011.08.034

来源: Elsevier

【 摘 要 】

We define the twisted tensor product of two enriched categories, which generalizes various sorts of 'products' of algebraic structures, including the bicrossed product of groups, the twisted tensor product of (co)algebras and the double cross product of bialgebras. The key ingredient in the definition is the notion of simple twisting systems between two enriched categories. To give examples of simple twisted tensor products we introduce matched pairs of enriched categories. Several other examples related to ordinary categories, posets and groupoids are also discussed. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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