Generalized invertibility in two semigroups of a ring. (Q1418971)
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scientific article; zbMATH DE number 2026891
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized invertibility in two semigroups of a ring. |
scientific article; zbMATH DE number 2026891 |
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Generalized invertibility in two semigroups of a ring. (English)
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14 January 2004
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Let \(R\) be ring with unity and \(e\in R\) be an idempotent. In analogy to matrix rings the notions of Neumann, group, Drazin and Moore-Penrose inverses in \(R\) are defined. The authors prove some general results connecting the above notions and next they apply them to the matrices over a given ring \(R\).
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generalized invertibility
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corner rings
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matrices over rings
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semigroups
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matrix rings
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Moore-Penrose inverses
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generalized inverse matrix
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Neumann inverse
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group inverse
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0.9270606
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0.92262244
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0.9171579
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0.9165633
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0.91526824
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0.91417533
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