POWERFUL IDEALS, STRONGLY PRIMARY IDEALS, ALMOST PSEUDO-VALUATION DOMAINS, AND CONDUCIVE DOMAINS

DOI10.1081/AGB-120013202zbMath1063.13017MaRDI QIDQ4532440

Ayman Badawi, Evan G. jun. Houston

Publication date: 2002

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

zbMATH Keywords

conducive domainsalmost pseudo-valuation domainspowerful ideal

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (25)

A Characterization of Valuation Domains via m-Canonical Ideals ⋮ Krull Dimension in Power Series Ring Over an Almost Pseudo-Valuation Domain ⋮ On Pseudo-Almost Valuation Domains ⋮ Pseudo-valuation modules ⋮ Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings ⋮ Universal mapping properties of some pseudovaluation domains and related quasilocal domains ⋮ Jump of a domain and spectrally balanced domains ⋮ Some generalizations of strongly prime ideals ⋮ On a New Class of Integral Domains with the Portable Property ⋮ Core of ideals in integral domains ⋮ Graded almost pseudo-valuation domains ⋮ SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain ⋮ Pseudo-almost valuation domains are quasilocal going-down domains, but not conversely ⋮ On n-semiprimary ideals and n-pseudo valuation domains ⋮ On \(\phi\)-2-absorbing primary submodules ⋮ Note on valuative dimension in power series rings ⋮ Unnamed Item ⋮ REFLECTION OF SOME QUASI-LOCAL DOMAINS ⋮ Some classification of certain integral domains via conductor overrings and semistar operations ⋮ Trivial extensions satisfying certain valuation-like properties ⋮ Valuation and Pseudovaluation Subrings of an Integral Domain ⋮ Strongly primary ideals in rings with zero-divisors ⋮ Graded powerful ideals in a graded integral domain ⋮ Isonoetherian power series rings II ⋮ ON ALMOST PSEUDO-VALUATION DOMAINS, II

Cites Work

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• Conducive integral domains
• Conducive integral domains as pullbacks
• Gap-minimizing prices and quadratic core convergence
• Divided rings and going-down
• Pseudo-valuation domains
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Gorenstein conducive domains

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