The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two

DOI10.2969/JMSJ/1190905453zbMath1102.13003OpenAlexW2031344658MaRDI QIDQ1768157

Shiro Goto, Hideto Sakurai

Publication date: 14 March 2005

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

Full work available at URL: https://doi.org/10.2969/jmsj/1190905453

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringmultiplicitylocal cohomologyCohen-Macaulay typeBuchsbaum ringgeneralized Cohen-Macaulay ring

Mathematics Subject Classification ID

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

Related Items (11)

The index of reducibility of parameter ideals in low dimension ⋮ Quasi-socle ideals and Goto numbers of parameters ⋮ Quasi-socle ideals in local rings with Gorenstein tangent cones ⋮ Chern coefficients and Cohen-Macaulay rings ⋮ The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases ⋮ Stability of quasi-socle ideals ⋮ Quasi-socle ideals in Gorenstein numerical semigroup rings ⋮ Quasi-socle ideals in a Gorenstein local ring ⋮ The equality \(I^2=QI\) in Buchsbaum rings ⋮ Quasi-socle ideals in Buchsbaum rings ⋮ An Upper Bound on the Reduction Number of an Ideal

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