Isomorphisms between endomorphism rings of free modules
type: Item
instance of: scholarly article
title: Isomorphisms between endomorphism rings of free modules
zbMATH Open document ID: 0763.16016
published in: Science in China. Series A
publication date: 1993-01-17T00:00:00Z
review text: Let \(_ F M\) and \(_ G N\) be free modules over rings \(F\) and \(G\), respectively. The author is interested in conditions under which the rings \(\text{End}(_ F M)\) and \(\text{End}(_ G N)\) are isomorphic. Thus, for example, the author proves that \(_ F M\) and \(_ G N\) are semi-linearly isomorphic if and only if \(\text{End}(_ F M)\) and \(\text{End}(_ G N)\) are strictly isomorphic and provides a categorical description for isomorphisms between \(\text{End}(_ F M)\) and \(\text{End}(_ G N)\).
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16S10
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 98072
zbMATH Keywords: free modules
zbMATH Keywords: semi-linearly isomorphic
zbMATH Keywords: strictly isomorphic
author: Xu Yonghua
reviewed by: T. H. Lenagan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 98072