LCM-splitting sets in some ring extensions

DOI10.1090/S0002-9939-01-06301-8zbMath1067.13003OpenAlexW1882997623MaRDI QIDQ2781332

Tiberiu Dumitrescu, Muhammad Zafrullah

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06301-8

zbMATH Keywords

Noetherian domainintegral closure\(R_{2}\)-stable overringlcm-splitting set

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Divisibility and factorizations in commutative rings (13A05)

Related Items (3)

Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors ⋮ Almost splitting sets in integral domains ⋮ Almost Splitting Sets and AGCD Domains

Cites Work

• LCM-stableness in ring extensions
• A general theory of almost factoriality
• Splitting the t-class group
• Factorization in integral domains. II
• The construction \(D+XD_s[X\)]
• Divisibility properties in semigroup rings
• Splitting sets in integral domains
• t-Linked overrings and prüfer v-multiplication domains
• On t-linked overrings
• Pseudo-Integrality
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