The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases

DOI10.1016/j.jalgebra.2010.07.017zbMath1214.13010OpenAlexW2006082834MaRDI QIDQ618241

Shiro Goto, Kazuho Ozeki

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.07.017

zbMATH Keywords

Hilbert functionassociated graded ringRees algebraHilbert coefficientBuchsbaum local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15)

Related Items

Chern coefficients and Cohen-Macaulay rings ⋮ Normal Sally modules of rank one ⋮ Stability of quasi-socle ideals ⋮ The equality of Elias-Valla and the associated graded ring of maximal ideals ⋮ Variation of the first Hilbert coefficients of parameters with a common integral closure ⋮ Quasi-socle ideals in Buchsbaum rings ⋮ The structure of sally modules and Buchsbaumness of associated graded rings ⋮ SALLY MODULES AND REDUCTION NUMBERS OF IDEALS

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