The product and matrix extension of meta-projective rings (Q2767425)
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scientific article; zbMATH DE number 1697435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The product and matrix extension of meta-projective rings |
scientific article; zbMATH DE number 1697435 |
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29 January 2002
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direct products
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matrix rings
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meta-projective rings
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semiprimitive rings
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meta-Grothendieck groups
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The product and matrix extension of meta-projective rings (English)
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It is known that if a ring \(R\) is meta-projective then \(J(R)=0\), i.e., the meta-projective rings are semiprimitive. The authors obtain the following results: (1) If \(R_1\) and \(R_2\) are meta-projective, then so is \(R_1\oplus R_2\); (2) If \(R\) is meta-projective, then so is \(R^{n\times n}\). In addition, the authors give also some results on meta-Grothendieck groups.
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