A short note on coherence and self-similarity
type: Item
instance of: scholarly article
title: A short note on coherence and self-similarity
zbMATH Open document ID: 1009.18004
DOI: 10.1016/S0022-4049(02)00132-9
author: Yanyan Li
published in: Journal of Pure and Applied Algebra
publication date: 2002-12-02T00:00:00Z
review text: Let \({\mathcal C}\), \(\otimes\) be a strict monoidal category. An object \(N\) is weakly self-similar if \(N\otimes N\) is a retract of \(N\). The full subcategory of \({\mathcal C}\) generated by the object \(N\) and the tensor \(\otimes\) is denoted by \({\mathcal N}^{\otimes}\). The author proves that the Karoubi envelope of the monoid \(\text{End}(N)\) contains a subcategory generated by an object isomorphic to \(N\), and a non-strict tensor.
reviewed by: Peeter Normak
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 19D23
Mathematics Subject Classification ID: 03G30
zbMATH DE Number: 1839065
zbMATH Keywords: strict monoidal category
zbMATH Keywords: weakly self-similar
zbMATH Keywords: retract
zbMATH Keywords: Karoubi envelope
zbMATH Keywords: tensor
MaRDI profile type: Publication
cites work: Q4204146
cites work: Q4704205
cites work: Q3727946
cites work: Q5639839
cites work: Q3135819
description: scientific article; zbMATH DE number 1839065