Strongly simply connected algebras
type: Item
instance of: scholarly article
title: Strongly simply connected algebras
zbMATH Open document ID: 0931.16010
author: Ibrahim Assem
author: Shiping Liu
published in: Journal of Algebra
publication date: 1999-12-06T00:00:00Z
review text: The authors present characterizations and construction techniques for strongly simply connected algebras. First, they give an alternative definition for strongly simply connectedness for locally bounded categories and then obtain a handy criterion to verify whether a locally bounded category is strongly simply connected. In particular, Schurian strongly simply connected locally bounded categories are further studied. As to the question how to construct strongly simply connected algebras, the authors show that an algebra is strongly simply connected if and only if it is the one-point extension (or coextension) of a strongly simply connected algebra by a completely coseparated module (or a completely separated module, respectively).
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16G70
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 1213801
zbMATH Keywords: strongly simply connected algebras
zbMATH Keywords: locally bounded categories
zbMATH Keywords: Schurian strongly simply connected categories
zbMATH Keywords: one-point extensions
reviewed by: Changchang Xi
MaRDI profile type: Publication
full work available at URL: jabr.1998.7457
OpenAlex ID: W2033680019
cites work: Strongly simply connected Auslander algebras
cites work: The fundamental groups of a triangular algebra
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DOI: 10.1006/JABR.1998.7457
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description: scientific article; zbMATH DE number 1213801