Jacobson radical of Artinian (2,n)-rings
type: Item
instance of: scholarly article
title: Jacobson radical of Artinian (2,n)-rings
zbMATH Open document ID: 0564.16036
author: A. N. Nikitin
published in: Moscow University Mathematics Bulletin
publication date: 1984-01-01T00:00:00Z
review text: By analogy with ordinary rings the notion of the Jacobson radical for (2,n)-rings is introduced (these are additive commutative groups with an n-ary operation of multiplication, which is associative and distributive relative to the addition). A complete description of the Jacobson radical for artinian (2,n)-rings is obtained. Namely, the equality \(J(R)=J(S(R))\cap R\) is proved, where R is an artinian (2,n)-ring and S(R) is its standard covering ring.
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 16Nxx
zbMATH DE Number: 3899117
zbMATH Keywords: Jacobson radical
zbMATH Keywords: artinian (2,n)-rings
zbMATH Keywords: covering ring
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3899117