DIVISIBILITY CONDITIONS IN COMMUTATIVE RINGS WITH ZERODIVISORS

DOI10.1081/AGB-120005834zbMath1063.13003MaRDI QIDQ4781556

Ayman Badawi, David F. Anderson

Publication date: 2002

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

zbMATH Keywords

divisibilityvon Neumann regular ringtotal quotient ringroot closed ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Divisibility and factorizations in commutative rings (13A05) Rings of fractions and localization for commutative rings (13B30)

Related Items (9)

Zero-divisor graphs, von Neumann regular rings, and Boolean algebras. ⋮ A classification of the minimal ring extensions of certain commutative rings ⋮ On two extensions of the classical zero-divisor graph ⋮ The i-extended zero-divisor graphs of idealizations ⋮ On the extended zero divisor graph of commutative rings ⋮ NORMAL PAIRS WITH ZERO-DIVISORS ⋮ The i -extended zero-divisor graphs of commutative rings ⋮ Rings of quotients of rings of functions ⋮ Concerning \(P\)-frames and the Artin-Rees property

Cites Work

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• On Marot rings
• \(\Delta\)-rings
• Root closure and R[X]
• On seminormality

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