Some finiteness and divisibility conditions on the proper overrings of an integral domain

DOI10.1080/00927878408823075zbMath0535.13005OpenAlexW1969291408MaRDI QIDQ3318876

David F. Anderson, David E. Dobbs, Daniel D. Anderson, Evan G. jun. Houston

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823075

zbMATH Keywords

Prüfer domainintegral domainintegral closureBezout domainsoverringsfinite- conductor domain

Mathematics Subject Classification ID

Integral domains (13G05) Extension theory of commutative rings (13B02) Divisibility and factorizations in commutative rings (13A05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (6)

Locally almost factorial integral domains ⋮ On t-linked overrings ⋮ Characterizing maximal non-Mori subrings of an integral domain ⋮ ON MAXIMAL NON-ACCP SUBRINGS ⋮ t-Linked overrings and prüfer v-multiplication domains ⋮ Locally factorial integral domains

Cites Work

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• Pseudo-valuation domains
• On proper of integral domains
• The converse to a well known theorem on Noetherian rings
• Commutative Rings Whose Simple Proper Overrings are Noetherian
• Pairs of Rings with the Same Prime Ideals

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