Separable semigroup algebras
type: Item
instance of: scholarly article
title: Separable semigroup algebras
zbMATH Open document ID: 0569.20055
DOI: 10.1016/0022-4049(84)90003-3
published in: Journal of Pure and Applied Algebra
publication date: 1984-01-01T00:00:00Z
review text: Let K be a commutative ring and let S be a semigroup. Assume that the semigroup ring KS has an identity. Necessary and sufficient conditions (on S) are found for KS to be K-separable. They coincide with those involved in the description of semisimple artinian semigroup algebras [\textit{W. D. Munn}, Proc. Camb. Philos. Soc. 51, 1-15 (1955; Zbl 0064.020)].
Mathematics Subject Classification ID: 20M25
Mathematics Subject Classification ID: 16H05
zbMATH DE Number: 3908711
zbMATH Keywords: semigroup ring
zbMATH Keywords: K-separable
zbMATH Keywords: semisimple artinian semigroup algebras
author: Charles Ching-An Cheng
reviewed by: Jan Okniński
MaRDI profile type: Publication
full work available at URL: 0022-4049(84)90003-3
OpenAlex ID: W2069756949
cites work: Q3848243
cites work: Separable algebras over commutative rings
cites work: Separable Algebras Over Commutative Rings
cites work: Q5847216
cites work: Q4055755
cites work: A note on separable integral semigroup rings
cites work: Q4134171
description: scientific article; zbMATH DE number 3908711