Some results about proper overrings of pseudo-valuation domains

DOI10.1142/S0219498816500997zbMath1343.13002OpenAlexW2173616802MaRDI QIDQ2801844

Salma Trabelsi, Noômen Jarboui

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1142/s0219498816500997

zbMATH Keywords

valuation domainprime idealintegralitypseudo-valuation domainquasi-local ringnormal pair

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21) Rings of fractions and localization for commutative rings (13B30)

Related Items

Maximal non-prime ideally equal subrings of a commutative ring ⋮ Maximal non-ϕ-pseudo-valuation rings ⋮ Pairs of integral domains with most of the intermediate rings PVD ⋮ Almost valuation property in bi-amalgamations and pairs of rings ⋮ Maximal non valuation domains in an integral domain ⋮ Ring extensions with finitely many non-Artinian intermediate rings ⋮ On almost valuation ring pairs ⋮ A note on \(\lambda\)-domains and \(\Delta\)-domains ⋮ Descent of properties of rings and pairs of rings to fixed rings

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