\(\star\)-reductions of ideals and Prüfer \(v\)-multiplication domains

DOI10.1216/JCA-2017-9-4-491zbMath1454.13006arXiv1602.07035OpenAlexW2963069197MaRDI QIDQ2412676

Salah-Eddine Kabbaj, Evan G. jun. Houston, Abdeslam Mimouni

Publication date: 24 October 2017

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07035

zbMATH Keywords

Prüfer domainstar operationbasic idealP\(v\)MDreduction of an ideal\(\star\)-basic ideal\(\star\)-basic ideal property\(\star\)-reduction of an idealbasic ideal property

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20)

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