The number of intermediate rings in FIP extension of integral domains

DOI10.1142/S0219498820501716zbMath1451.13023OpenAlexW2969292030WikidataQ114614581 ScholiaQ114614581MaRDI QIDQ5132352

Mabrouk Ben Nasr, Ali Jaballah

Publication date: 10 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820501716

zbMATH Keywords

valuation domainPrüfer domainintegral domainring extensionoverringintegral extensionnormal pairintegrally closedintermediate ringFIP-extensionnumber of intermediate rings

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (1)

FROM TOPOLOGIES OF A SET TO SUBRINGS OF ITS POWER SET

Cites Work

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