Representation of some finite rings by matrices over commutative rings.

DOI10.1007/S10469-014-9291-8zbMath1327.16012OpenAlexW1973495534MaRDI QIDQ2342322

L. Oyuuntsetseg, Abish Mekei

Publication date: 11 May 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-014-9291-8

zbMATH Keywords

Galois ringsfinite ringsvarieties of ringscommuting nilpotent elementssubdirectly irreducible ringsfinite NC-ringsrings of matrices over commutative rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

• On the structure of finite rings. II
• Some examples in PI ring theory
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