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Algebra i logika, 2014, Volume 53, Number 4, Pages 451–465 (Mi al645)  
Representation of some finite rings by matrices over commutative rings

A. Mekei, L. Oyuuntsetseg

The Institute of Mathematics, National University of Mongolia, Ulan Bator, Mongolia
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Abstract: We give a complete description of subdirectly irreducible finite associative rings with commuting nilpotent elements. Also it is proved that a finite ring the nilpotent elements of which commute is representable by matrices over a commutative ring.
Keywords: Galois ring, subdirectly irreducible ring, variety of associative rings, representation of finite rings by matrices over commutative rings.
Received: 17.05.2014
Revised: 10.06.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 4, Pages 287–297
DOI: https://doi.org/10.1007/s10469-014-9291-8
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
Language: Russian
Citation: A. Mekei, L. Oyuuntsetseg, “Representation of some finite rings by matrices over commutative rings”, Algebra Logika, 53:4 (2014), 451–465; Algebra and Logic, 53:4 (2014), 287–297
Citation in format AMSBIB
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\paper Representation of some finite rings by matrices over commutative rings
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\vol 53
\issue 4
\pages 451--465
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\issue 4
\pages 287--297
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    		Алгебра и логика Algebra and Logic
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