On strongly prime rings and ideals

DOI10.1080/00927870008827167zbMath0973.16014OpenAlexW2016296913MaRDI QIDQ4519225

Algirdas Kaučikas, Robert Wisbauer

Publication date: 25 November 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827167

zbMATH Keywords

prime ringscomplementsstrongly prime idealscentral closuresstrongly prime modulesmultiplication ringsright localizationsstrongly multiplicative sets

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (9)

Homogeneous nilradicals over semigroup graded rings ⋮ RADICALS WITH THE α-AMITSUR PROPERTY ⋮ On polynomial rings over nil rings in several variables and the central closure of prime nil rings ⋮ Descriptions of radicals of skew polynomial and skew Laurent polynomial rings ⋮ Variations of primeness and factorization of ideals in Leavitt path algebras ⋮ NONCOMMUTATIVE HILBERT RINGS ⋮ Multiplicative sets, left strongly prime ideals, and left strongly prime radicals in rings. ⋮ Unitary strongly prime rings and related radicals. ⋮ Ideal intrinsic extensions with connections to PI-rings.

Cites Work

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• Non-commutative algebraic geometry. An introduction
• Elements of noncommutative arithmetic. I
• On centered and integral homomorphisms
• Quelques observations sur les épimorphismes plats (à gauche) d'anneaux
• On Azumaya algebras and finite dimensional representations of rings
• On prime modules and rings
• Localization of modules and the central closure of rings
• On the left spectrum of a ring

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