Solution of the ℐ2-radical problem in structural matrix near-rings

DOI10.1017/S0308210500027207zbMath0896.16033MaRDI QIDQ4380629

Kirby C. Smith, Leon van Wyk

Publication date: 22 July 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotent idealsNoetherian quotientsstructural matrix near-rings\(J_2\) radical

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Near-rings (16Y30) Jacobson radical, quasimultiplication (16N20)

Cites Work

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• The \(J_ 0\)-radical of matrix near-rings
• Matrix near rings
• The \(J_ 2\)-radical in structural matrix near-rings
• The automorphism group of a structural matrix algebra
• Chains of intermediate ideals in matrix near-rings
• RADICALS OF STRUCTURAL MATRIX RINGS
• PRIMITIVITY IN MATRIX NEAR-RINGS
• Special radicals in structural matrix rings
• The 2-primitive ideals of structural matrix near-rings
• The -radical in structural matrix near rings, II
• Polynomial regularities in structural matrix rings
• Radicals of associative rings. I

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