ON VARIETIES OF RINGS WHOSE FINITE RINGS ARE DETERMINED BY THEIR ZERO-DIVISOR GRAPHS

DOI10.1142/S1793557112500192zbMath1264.16024arXiv1201.3441MaRDI QIDQ2920384

Yuriĭ Nikolaevich Mal'tsev, A. S. Kuz'mina

Publication date: 16 October 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3441

zbMATH Keywords

polynomial identitieszero-divisor graphsfinite nilpotent ringsvarieties of associative ringssubdirectly irreducible finite rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

The description of varieties of rings whose finite rings are uniquely determined by their zero-divisor graphs.

Cites Work

• Unnamed Item
• Coloring of commutative rings
• On the structure of finite rings. II
• The zero-divisor graph of a commutative ring
• On the zero-divisor graph of a commutative ring

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