ON WEAK ARMENDARIZ RINGS

DOI10.4134/BKMS.2009.46.1.135zbMath1180.16018MaRDI QIDQ3633711

Young Cheol Jeon, Jung Sook Yoon, Yang Lee, Hong Kee Kim

Publication date: 23 June 2009

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

semiprime ringsGoldie ringsvon Neumann regular ringsreduced ringsclassical right quotient ringsright Ore ringsweak Armendariz ringsIFP rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (27)

Reflexive Property of Rings ⋮ Structure of rings with commutative factor rings for some ideals contained in their centers ⋮ Unnamed Item ⋮ Structure of insertion property by powers ⋮ Unnamed Item ⋮ Structure of annihilators of powers ⋮ Structure of abelian rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Armendariz property on ideals. ⋮ On partial-Armendariz rings ⋮ REVERSIBILITY AND SYMMETRY OVER CENTERS ⋮ Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties ⋮ A note on lower nil M-Armendariz rings ⋮ ON NI AND QUASI-NI RINGS ⋮ ABELIAN PROPERTY CONCERNING FACTORIZATION MODULO RADICALS ⋮ INSERTION-OF-FACTORS-PROPERTY WITH FACTORS NILPOTENTS ⋮ On a ring structure related to annihilators ⋮ Reflexivity with maximal ideal axes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rings which satisfy the Property of Inserting Regular Elements at Zero Products ⋮ Insertion of units at zero products ⋮ FINITE LOCAL RINGS OF ORDER ≤ 16 WITH NONZERO JACOBSON RADICAL ⋮ A PROOF ON POWER-ARMENDARIZ RINGS ⋮ A REMARK ON IFP RINGS ⋮ On a ring property related to nilradicals

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