TW-domains and strong Mori domains

DOI10.1016/S0022-4049(02)00171-8zbMath1010.13002MaRDI QIDQ1861471

Abdeslam Mimouni

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Noetherian domainsMori domains\(t\)-operations\(TW\)-domains\(w\)-operations

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (26)

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY ⋮ Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials ⋮ On t-Dimension of Polynomial Rings ⋮ Some examples in Gorenstein multiplicative ideal theory ⋮ Class semigroups of integral domains ⋮ The finitely presented torsion-free SG-projective modules are not necessarily projective ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ Unnamed Item ⋮ Graded integral domains in which each nonzero homogeneous t-ideal is divisorial ⋮ Star operations and pullbacks. ⋮ W-JAFFARD DOMAINS IN PULLBACKS ⋮ UMT-domain property in pullbacks of graded integral domains ⋮ On the Cardinality of Semistar Operations on Integral Domains ⋮ \(FT\)-domains and Gorenstein Prüfer \(v\)-multiplication domains ⋮ ES-w-stability ⋮ Characterizations of Some Classes of Integral Domains via Semistar Operations ⋮ On the transfer of some $t-$locally properties ⋮ \(w\)-divisorial domains ⋮ Unnamed Item ⋮ Integral Domains in Which Each Ideal Is aW-Ideal ⋮ \(v_c\)-Noetherian domains and Krull domains ⋮ A note on the Krull dimension of rings between \(D[X\) and \(\mathrm{Int}(D)\)] ⋮ Stability in Commutative Rings ⋮ The Bass-Quillen problem on a class of local rings with weak global dimension two ⋮ Unnamed Item ⋮ Stability and Clifford Regularity with Respect to Star Operations

Cites Work

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• Strongly divisorial ideals and complete integral closure of an integral domain
• The \(D+XD_ s[X\) construction from GCD-domains]
• Integral domains in which each t-ideal is divisorial
• Some remarks on star-operations
• When the dual of an ideal is a ring
• On strong Mori domains
• Coherentlike conditions in pullbacks
• Overrings and divisorial ideals of rings of the form \(D+M\)
• t-Linked overrings and prüfer v-multiplication domains
• Pairs of Rings with the Same Prime Ideals
• Integral domains in which each non‐zero ideal is divisorial

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