Symmetric algebras, skew category algebras and inverse semigroups.
type: Item
instance of: scholarly article
title: Symmetric algebras, skew category algebras and inverse semigroups.
zbMATH Open document ID: 1269.16023
author: Constantin-Cosmin Todea
published in: Journal of Algebra
publication date: 2013-04-17T00:00:00Z
review text: An inverse semigroup is a semigroup \(S\) in which for every \(s\) there is a unique \(s^*\) such that \(ss^*s=s\) and \(s^*ss^*=s^*\). A finite dimensional algebra \(A\) over a field \(F\) is called symmetric if \(A\) is isomorphic to \(\Hom_F(A,F)\) as an \(A\)-\(A\)-bimodule. In the paper under review the author uses results from the theory of inverse semigroups to construct some examples of symmetric algebras as skew categories associated to algebras over inverse categories.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 16S99
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 18B40
Mathematics Subject Classification ID: 20M50
zbMATH DE Number: 6155230
zbMATH Keywords: inverse semigroups
zbMATH Keywords: symmetric algebras
zbMATH Keywords: skew category algebras
zbMATH Keywords: inverse-symmetric algebras
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2012.07.022
OpenAlex ID: W2072036733
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DOI: 10.1016/J.JALGEBRA.2012.07.022
description: scientific article; zbMATH DE number 6155230