Medial and distributively generated near-rings
type: Item
instance of: scholarly article
title: Medial and distributively generated near-rings
zbMATH Open document ID: 0712.16024
DOI: 10.1007/BF01302929
published in: Monatshefte für Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178460
review text: It is shown that fully invariant groups play a role in the structure of near-rings, especially in d.g. near-rings. Properties of these additive groups are then used to obtain results about d.g., medial, or subdirectly irreducible near-rings or about near-rings whose additive groups are locally nilpotent. This extends the authors' results [in Monatsh. Math. 107, 89-110 (1989; Zbl 0685.16021)]. Some minor errors in the previous paper are corrected.
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 20F19
zbMATH DE Number: 4171162
zbMATH Keywords: fully invariant groups
zbMATH Keywords: d.g. near-rings
zbMATH Keywords: subdirectly irreducible near- rings
zbMATH Keywords: additive groups
zbMATH Keywords: locally nilpotent
author: G. F. Birkenmeier
author: Henry E. Heatherly
MaRDI profile type: Publication
cites work: Medial near-rings
cites work: Medial rings and an associated radical
cites work: Q3197967
cites work: Rings with left self distributive multiplication
cites work: DISTRIBUTIVE NEAR-RINGS
cites work: Q5331572
description: scientific article; zbMATH DE number 4171162