Chain conditions and nil ideals

DOI10.1016/0021-8693(81)90323-9zbMath0469.16009OpenAlexW1991127690MaRDI QIDQ1156854

Baxter Johns

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90323-9

zbMATH Keywords

Jacobson radicalsingular idealsmaximum condition on left annihilators

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (7)

MacWilliams extending conditions and quasi-Frobenius rings ⋮ The rational Loewy series and nilpotent ideals of endomorphism rings ⋮ Skew Laurent series rings and the maximum condition on right annihilators ⋮ Comorphic rings ⋮ Rings with Annihilator Chain Conditions and Right Distributive Rings ⋮ Associative rings ⋮ Some new results on skew inverse Laurent series rings

Cites Work

• Unnamed Item
• Annihilator conditions in Noetherian rings
• Orders in self-injective semi-perfect rings
• Rings whose cyclic modules have finitely generated socle
• Nil subrings with bounded indices of nilpotency
• Semi-Prime Rings with Maximum Condition
• Rings with Ascending Condition on Annihilators
• On Some Characteristic Properties of Self-Injective Rings
• Rings satisfying a minimum condition on principal ideals.
• On the Nilpotency of Nil Subrings
• Rings satisfying certain chain conditions.
• On Some Characteristic Properties of Quasi-Frobenius and Regular Rings

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