Trace Properties and Pullbacks

DOI10.1081/AGB-120017753zbMath1038.13001MaRDI QIDQ4802428

Thomas G. Lucas, Salah-Eddine Kabbaj, Abdeslam Mimouni

Publication date: 14 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

pullbacksintegral domaintrace property

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

Trace Properties and Integral Domains, II, Minimal reductions and core of ideals in pullbacks, GENERALLY t-LINKATIVE DOMAINS, Core of ideals in integral domains, Reductions and cores of ideals in trivial ring extensions, Trace properties and the rings \(R(x)\) and \(R\langle x\rangle\), Ideal containment in commutative rings, Reductions and Core of Ideals in Integral Domains: Some Recent Developments, Noetherian domains in which every ideal is isomorphic to a trace ideal, ES-w-stability, Unnamed Item, On some classes of integral domains with finitely many star operations of finite type

Cites Work

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• When is the dual of an ideal a ring?
• On the ubiquity of Gorenstein rings
• Domains with the radical trace property and their complete integral closure
• Pairs of Rings with the Same Prime Ideals