Structure Theorems for the Socle-Ideal of a Near-Ring

DOI10.1080/00927870701724284zbMath1146.16025OpenAlexW1968505848MaRDI QIDQ3510077

Anthony M. Matlala, John F. T. Hartney

Publication date: 26 June 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701724284

zbMATH Keywords

zero-symmetric near-ringsmatrix near-ringsdescending chain conditionsocle ideald.g. near-ringsnil-rigid series

Mathematics Subject Classification ID

Near-rings (16Y30) Ideals in associative algebras (16D25)

Related Items (2)

On annihilator ideals in matrix near-rings. ⋮ \(0\)-primitive near-rings, minimal ideals and simple near-rings

Cites Work

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• Matrix near rings
• Modules over matrix near-rings and the \({\mathcal J}_ 0\)-radical
• On the decomposition of near-rings
• Prime ideals and the ideal-radical of a distributively generated near- ring
• An antiradical for near-rings
• PRIMITIVITY IN MATRIX NEAR-RINGS
• A radical for near-rings
• S-PRIMITIVITY IN MATRIX NEAR-RINGS
• Formation Radicals for Near-Rings

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