Core of an ideal in Prüfer domains

DOI10.1016/j.jpaa.2024.107716zbMath1546.13011MaRDI QIDQ6564634

Salah-Eddine Kabbaj, Bruce Olberding, Abdeslam Mimouni

Publication date: 1 July 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

stabilityreductionPrüfer domaincore of an idealbasic idealtrace 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) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal reductions and core of ideals in pullbacks
• The core of ideals in arbitrary characteristic
• The core of zero-dimensional monomial ideals
• Core of ideals in integral domains
• Bazzoni's conjecture
• Domains satisfying the trace property
• The radical trace property
• General elements and joint reductions
• When the dual of an ideal is a ring
• \(D+M\) constructions with general overrings
• The construction \(D+XD_s[X\)]
• Globalizing local properties of Prüfer domains
• The core of a module over a two-dimensional regular local ring
• Class semigroups of integral domains
• Core of projective dimension one modules
• A formula for the core of an ideal
• Cores of ideals in 2-dimensional regular local rings
• When weak-injective modules decompose like injectives
• Core of ideals in one-dimensional Noetherian domains
• Prüfer domains and endomorphism rings of their ideals
• Factoring ideals and stability in integral domains
• A formula for the core of certain strongly stable ideals
• Overrings and divisorial ideals of rings of the form \(D+M\)
• On the prime ideals of the ring of entire functions
• Core and residual intersections of ideals
• Integer-Valued Polynomials
• Topology, intersections and flat modules
• Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings
• On the Ideal Equation I(B ∩ C) = IB∩IC
• Annihilators of graded components of the canonical module, and the core of standard graded algebras
• On h-Local Integral Domains
• Reductions of Ideals in Prufer Domains
• Decompositions of modules and matrices
• On a non-vanishing conjecture of Kawamata and the core of an ideal
• ON THE STRUCTURE OF STABLE DOMAINS
• On the core of ideals
• ℎ-local Rings
• Reductions of Ideals in Pullbacks
• t-class semigroups of integral domains
• Cotorsion modules
• Stable rings and a problem of Bass
• Reductions of Ideals in Commutative Rings
• On the classification of stable domains
• The structure of the core of ideals

This page was built for publication: Core of an ideal in Prüfer domains