A classification of finite rings by zero divisors

DOI10.1016/0022-4049(86)90036-8zbMath0588.16013OpenAlexW2017949359MaRDI QIDQ1073146

Kwangil Koh, Yuji Kobayashi

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90036-8

zbMATH Keywords

Jacobson radicalindexfinite ringszero divisorsdirect sum of two fields

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (5)

The group of units in a compact ring ⋮ THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS ⋮ Units on the Gauss extension of a Galois ring ⋮ Half-transitive group actions in a compact ring ⋮ The Zero Divisor Graph of 2 × 2 Matrices Over a Field

Cites Work

• Unnamed Item
• On the matrix ring over a finite field
• The multiplicative groups of a ring
• On 'Properties of rings with a finite number of zero divisors'
• Properties of rings with a finite number of zero divisors. II
• Rings with few zero divisors
• Rings with a few more zero-divisors
• Gelfond's Solution of Hilbert's Seventh Problem

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