Strong Mori domains and the ring \(D[{\mathbf X}]_{N_v}\)

DOI10.1016/J.JPAA.2004.08.036zbMath1094.13031OpenAlexW1970972272MaRDI QIDQ1772259

Gyu Whan Chang

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.036

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (17)

Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials ⋮ PrÜfer-Like Domains and the Nagata Ring of Integral Domains ⋮ The \(t\)-Nagata ring of \(t\)-Schreier domains ⋮ Numerical Semigroup Rings and Almost Prüferv-Multiplication Domains ⋮ Valuation ideals and primary \(w\)-ideals ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ \((t,v)\)-Dedekind domains and the ring \(R[X_{N_{v}}\)] ⋮ Star operations on Prüfer \(v\)-multiplication domains ⋮ Graded integral domains and Nagata rings ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ GOING-DOWN AND SEMISTAR OPERATIONS ⋮ WHEN THE NAGATA RING D(X) IS A SHARP DOMAIN ⋮ FINITELY t-VALUATIVE DOMAINS ⋮ Integral Domains in which Every Nonzerot-Locally Principal Ideal ist-Invertible ⋮ The \(w\)-integral closure of integral domains ⋮ ON ALMOST PSEUDO-VALUATION DOMAINS, II

Cites Work

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• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• On strong Mori domains
• On overrings of strong Mori domains
• t-Linked overrings and prüfer v-multiplication domains
• t-Linked Overrings of Noetherian Weakly Factorial Domains
• Maximal Ideal Transforms of Noetherian Rings
• wDimension of domains
• On w-modules over strong mori domains
• Umt-domains and domains with prüfer integral closure
• Two star-operations and their induced lattices
• Group rings and semigroup rings over strong Mori domains.

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