Ideals Having the Expected Reduction Number

DOI10.1353/ajm.1996.0006zbMath0849.13016OpenAlexW2010527475MaRDI QIDQ4875700

Bernd Ulrich

Publication date: 11 November 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.1.html

zbMATH Keywords

analytic spreadreduction numberlinkagedepthsCohen-Macaulay ideallocal number of generators\(s\)-balancedness

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (24)

Symmetric Reductions ⋮ The almost Gorenstein Rees algebras over two-dimensional regular local rings ⋮ Second analytic deviation one ideals and their Rees algebras ⋮ The core of zero-dimensional monomial ideals ⋮ On the almost Gorenstein property in the Rees algebras of contracted ideals ⋮ Residual intersections of licci ideals are glicci ⋮ Coefficient ideals in dimension two ⋮ Minimal reductions and cores of edge ideals ⋮ Gorensteinness in Rees algebras of powers of parameter ideals ⋮ Residual intersections and core of modules ⋮ On residually $S_2$ ideals and projective dimension one modules ⋮ Residual intersections and modules with Cohen-Macaulay Rees algebra ⋮ Residual intersections in Cohen-Macaulay rings ⋮ Almost Gorenstein Rees algebras of pg-ideals, good ideals, and powers of the maximal ideals ⋮ Coefficient Ideals and the Gorenstein Property of Blowups ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ Rees algebras of ideals with low codimension ⋮ A formula for the core of an ideal ⋮ Core and residual intersections of ideals ⋮ Cohen-Macaulayness of Special Fiber Rings ⋮ The almost Gorenstein Rees algebras of parameters ⋮ Symmetry in the core of a zero-dimensional monomial ideal ⋮ Defining Equations of Blowup Algebras ⋮ Generic freeness of local cohomology and graded specialization

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