On involution rings
type: Item
instance of: scholarly article
zbMATH Open document ID: 0981.16029
publication date: 2002-03-12T00:00:00Z
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16P70
Mathematics Subject Classification ID: 16D25
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 16N60
zbMATH DE Number: 1606100
zbMATH Keywords: involution rings
zbMATH Keywords: *-simple rings
zbMATH Keywords: minimal *-biideals
zbMATH Keywords: Rees matrix rings
zbMATH Keywords: *-prime rings
zbMATH Keywords: *-prime ideals
author: Usama A. Aburawash
MaRDI profile type: Publication
Recommended article: Q4020551
Recommended article: On regular rings with involution
Recommended article: Q4276195
Recommended article: Q4231641
Recommended article: Involutions in a compact ring
Recommended article: A note on rings with involution
Recommended article: Q3758067
Recommended article: Q4270633
Recommended article: Rings with involution and orderings
Recommended article: Q3481893
title: On involution rings
published in: East-West Journal of Mathematics
review text: The paper surveys the description of the structure of involution rings within the category of involution rings where morphisms have to preserve also the involution. The paper includes also more recent results such as the characterizations of *-simple rings with minimal *-biideals by Rees matrix rings and that of *-prime rings and *-prime ideals, the embeddability of involution rings (with d.c.c. on *-biideals) as a *-ideal into an involution ring with identity (and with d.c.c. on *-biideals), and the connection between d.c.c. and a.c.c. on *-biideals.
reviewed by: R. Wiegandt
description: scientific article; zbMATH DE number 1606100