On a class of self-injective locally bounded categories
type: Item
instance of: scholarly article
title: On a class of self-injective locally bounded categories
zbMATH Open document ID: 0948.18006
author: Zygmunt Pogorzały
published in: Tsukuba Journal of Mathematics
publication date: 2000-11-12T00:00:00Z
review text: The repetitive category \(\widehat{A}\) of a finite-dimensional algebra \(A\) is a well-known example of a self-injective locally bounded category. Factoring out the Nakayama automorphism one gets back a finite-dimensional algebra \(T(A)\), the trivial extension of \(A\). It is shown in the present paper that conversely any such category, which in addition is triangular (= directed) and has no indecomposable projective module of length smaller than 3, arises as the repetitive category of some finite-dimensional algebra which then also is triangular.
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 1383399
zbMATH Keywords: repetitive categories
zbMATH Keywords: locally bounded categories
reviewed by: Steffen Koenig
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163472
OpenAlex ID: W657088654
Wikidata QID: Q114047163
DOI: 10.21099/TKBJM/1496163472
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description: scientific article; zbMATH DE number 1383399