On primeness and nilpotence in structural matrix near-rings

DOI10.1017/S0013091500023063zbMath0859.16040OpenAlexW2116828223MaRDI QIDQ4892737

Enoch Lee

Publication date: 13 April 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500023063

zbMATH Keywords

nilpotent elementsmatrix near-ringsBoolean matricescompletely prime idealsstructural matrix near-ringslocal nilpotent idealscompletely prime radicalsLevitzki radicalsright zerosymmetric near-rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Near-rings (16Y30) Ideals in associative algebras (16D25) General radicals and associative rings (16N80)

Related Items (1)

Row-finite Matrices and Power Series Near-rings

Cites Work

• On primeness in matrix near-rings
• Matrix near rings
• The \(J_ 2\)-radical in structural matrix near-rings
• Prime ideals and prime radicals in near-rings
• Different prime ideals in near-rings

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