THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS

DOI10.1142/S0219498811005312zbMath1246.13009OpenAlexW2109080604MaRDI QIDQ5389515

Muhammad Zafrullah, David F. Anderson, Saïd El Baghdadi

Publication date: 21 April 2012

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

Full work available at URL: https://doi.org/10.1142/s0219498811005312

zbMATH Keywords

Prüfer domainstar operationQQR-domain\(t\)-linkedlocalizing systemdomain extensions\(t\)-compatiblestrongly \(t\)-compatible

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02)

Related Items (1)

The \(A + X B [X\) construction from Prüfer \(v\)-multiplication domains]

Cites Work

• Unnamed Item
• Well behaved prime t-ideals
• The radical trace property
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• The class group of \(D+M\)
• Some remarks on star-operations
• When the dual of an ideal is a ring
• On finite conductor domains
• The construction \(D+XD_s[X\)]
• Mori domains of integer-valued polynomials
• On the class group and the local class group of a pullback
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• t-Linked overrings and prüfer v-multiplication domains
• A general theory of class groups
• Star-operations induced by overrings
• On t-linked overrings
• The class group of a strongly mori domain
• Integral Domains in Which Each Ideal Is aW-Ideal
• Quotient overrings of integral domains

This page was built for publication: THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS