Fully prime rings

DOI10.1080/00927879408825136zbMath0817.16012OpenAlexW2005017178MaRDI QIDQ4310017

William D. Blair, Hisaya Tsutsui

Publication date: 6 August 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825136

zbMATH Keywords

idempotent idealsfully prime ringsset of idealstotally ordered set of ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25)

Related Items (10)

FULLY PRIME MODULES AND FULLY SEMIPRIME MODULES ⋮ Unnamed Item ⋮ A Generalization of Complete Reducibility ⋮ Partial crossed products and fully weakly prime rings ⋮ Strongly filial rings ⋮ \(S\)-prime ideals, \(S\)-Noetherian noncommutative rings, and the \(S\)-Cohen's theorem ⋮ Fully prime rings. II ⋮ 2-PRIMAL MODULES ⋮ Multiplicative Sets of Primitive Idempotents and Primitive Ideals ⋮ ON CHARACTERIZATIONS OF PRIME AND ALMOST PRIME SUBMODULES

Cites Work

• An example of a simple radical ring
• Rings All of whose Factor Rings are Semi-Prime
• On One Sided Ideals of a Prime Type
• Unnamed Item
• Unnamed Item
• Unnamed Item

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