On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\) (Q1364282)
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scientific article; zbMATH DE number 1051533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\) |
scientific article; zbMATH DE number 1051533 |
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On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\) (English)
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27 November 1997
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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.
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matrix near-rings
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isomorphisms
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