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Pseudo symmetry of \(M(R)\) and \(N(R)\) - MaRDI portal

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Pseudo symmetry of \(M(R)\) and \(N(R)\) (Q2764622)

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scientific article; zbMATH DE number 1690731
Language Label Description Also known as
English
Pseudo symmetry of \(M(R)\) and \(N(R)\)
scientific article; zbMATH DE number 1690731

    Statements

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    28 May 2002
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    von Neumann regular rings
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    pseudo symmetric rings
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    Pseudo symmetry of \(M(R)\) and \(N(R)\) (English)
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    Let \(R\) be an associative ring with identity. The following results are proved: (i) every reduced von Neumann regular ring is pseudo symmetric. (ii) \(N(R)\) is pseudo symmetric and \(M(R)\) is reduced if and only if \(M(R)=N(R)\).
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