Distributive semigroup rings and related topics
type: Item
instance of: scholarly article
title: Distributive semigroup rings and related topics
zbMATH Open document ID: 0938.16018
DOI: 10.1007/BF02365071
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-11-22T00:00:00Z
review text: This is a survey of results on monoid rings \(A[S]\) over a unital ring \(A\) that are (right) distributive or satisfy certain related finiteness conditions. In particular, von Neumann regularity, strong regularity, Rickartian rings and Bézout rings are discussed. Results on related constructions, such as skew polynomial rings, skew power series rings and on quaternion algebras are also included.
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 20M25
Mathematics Subject Classification ID: 16P70
Mathematics Subject Classification ID: 16E50
zbMATH DE Number: 1364734
zbMATH Keywords: monoid rings
zbMATH Keywords: finiteness conditions
zbMATH Keywords: von Neumann regular rings
zbMATH Keywords: strongly regular rings
zbMATH Keywords: Rickartian rings
zbMATH Keywords: Bézout rings
zbMATH Keywords: skew polynomial rings
zbMATH Keywords: skew power series rings
zbMATH Keywords: quaternion algebras
author: A. A. Tuganbaev
reviewed by: Jan Okniński
MaRDI profile type: Publication
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