On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\)
type: Item
instance of: scholarly article
title: On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\)
zbMATH Open document ID: 0884.16031
author: O. Diekmann
published in: Rocky Mountain Journal of Mathematics
publication date: 1997-11-27T00:00:00Z
full work available at URL: CONT27-1.html
review text: The author of this paper was one of the first to work on matrix near-rings as defined by the reviewer and \textit{A. P. J. van der Walt} [Arch. Math. 47, 312-319 (1986; Zbl 0611.16025)]\ and has made substantial contributions to this subject. In this paper, he continues his work by showing that \(M_{mn}(R)\) is isomorphic to \(M_n(M_m(R))\), where \(M_n(R)\) is the \(n\times n\) matrix near-ring over the near-ring \(R\). The proof involves the construction of the isomorphism and is a difficult and involved piece of work.
Mathematics Subject Classification ID: 16Y30
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 1051533
zbMATH Keywords: matrix near-rings
zbMATH Keywords: isomorphisms
reviewed by: John D. P. Meldrum
MaRDI profile type: Publication
OpenAlex ID: W2066489930
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DOI: 10.1216/RMJM/1181071958
description: scientific article; zbMATH DE number 1051533