When semicritical rings are semiprime

DOI10.1080/00927878108822681zbMath0472.16010OpenAlexW2141148062MaRDI QIDQ3926753

Ann K. Boyle, Ralph P. Tucci

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822681

zbMATH Keywords

critical moduleright nonsingular ringcritical right idealscritical soclesemicritical ring with Krull dimension

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Conditions on elements (16U99) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• On nonsingularly k-primitive rings
• The Structure of Prime Rings Under Ascending Chain Conditions
• On Rings of Which Any One-Sided Quotient Rings are Two-Sided
• α-coprimitive ideals and α-indecomposable injectives
• The krull radical
• Noetherian Rings with Krull Dimension One
• The Large Condition for Rings with Krull Dimension
• Ideal invariance and localization

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