Some prime assosymmetric rings
type: Item
instance of: scholarly article
title: Some prime assosymmetric rings
zbMATH Open document ID: 0634.17001
author: K. Sitaram
author: K. Suvarna
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The authors prove that a 2- and 3-divisible prime assosymmetric ring is either associative or commutative. [Reviewer's remark: This result is incomplete. Moreover, it is improvable. It is incomplete, since the authors overlooked the fact that a commutative assosymmetric ring is also associative. It is improvable, since the more general theorem holds: a 2- and 3-divisible semiprime assosymmetric ring is associative. [Cf. our study ``Some theorems on semi-prime nonassociative rings'' (to appear)]\(\}\).
Mathematics Subject Classification ID: 17A30
Mathematics Subject Classification ID: 17D99
Mathematics Subject Classification ID: 16N60
zbMATH DE Number: 4031914
zbMATH Keywords: Thedy rings
zbMATH Keywords: associativity
zbMATH Keywords: semiprime assosymmetric ring
reviewed by: Arie Hendrik Boers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4031914