On some classes of integral domains defined by Krull's \(a.b.\) operations

DOI10.1016/J.JALGEBRA.2011.05.037zbMath1239.13003arXiv1105.3319OpenAlexW2067128036MaRDI QIDQ661860

Giampaolo Picozza, Marco Fontana

Publication date: 11 February 2012

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

Full work available at URL: https://arxiv.org/abs/1105.3319

zbMATH Keywords

Star operationMori domain\(b\)-, \(v\)-, \(t\)-, \(w\)-OperationMultiplicative ideal theoryPrüfer (\(v\)-multiplication) domainValuation domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (4)

\(v_c\)-Noetherian domains and Krull domains ⋮ The space of homogeneous preserving semistar operations on graded domains ⋮ INTEGRAL DOMAINS WITH FINITELY MANY STAR OPERATIONS OF FINITE TYPE ⋮ Spectral spaces of semistar operations

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