First neighborhood complete ideals in two-dimensional Muhly local domains are projectively full

DOI10.1090/S0002-9939-08-09735-9zbMath1166.13011MaRDI QIDQ3625538

Raymond Debremaeker

Publication date: 5 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

projectively full idealMuhly local domainfirst neighborhood complete ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22)

Related Items (3)

Degree functions and projectively full ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal ⋮ Some characterizations of first neighborhood complete ideals in dimension two ⋮ Quasi-one-fibered ideals of order one in dimension two

Cites Work

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• On unique and almost unique factorization of complete ideals. II
• Projectively full ideals in noetherian rings
• First neighborhood complete ideals in two-dimensional Muhly local domains
• Birational extensions in dimension two and integrally closed ideals
• Semifactoriality and Muhly's condition (N) in two dimensional local rings
• On sandwiched singularities and complete ideals.
• Projectively equivalent ideals and Rees valuations
• Factorization of complete ideals in normal birational extensions in dimension two
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Some asymptotic properties of powers of ideals
• On the Existence of Asymptotically Irreducible Ideals

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