Representation of some finite rings by matrices over commutative rings. (Q2342322)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of some finite rings by matrices over commutative rings. |
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Representation of some finite rings by matrices over commutative rings. (English)
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11 May 2015
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A finite associative ring with commuting nilpotent elements is called an NC-ring. In this paper, all subdirectly irreducible NC-rings are described. Moreover, it is proved that every finite NC-ring is representable by matrices over a commutative ring.
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finite rings
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Galois rings
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subdirectly irreducible rings
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varieties of rings
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rings of matrices over commutative rings
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commuting nilpotent elements
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finite NC-rings
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