The almost Gorenstein Rees algebras of parameters

Shiro Goto; Naoyuki Matsuoka; Naoki Taniguchi; Ken ichi Yoshida

doi:10.1016/j.jalgebra.2015.12.022

The almost Gorenstein Rees algebras of parameters

Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi^*, Ken ichi Yoshida

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.

Original language	English
Pages (from-to)	263-278
Number of pages	16
Journal	Journal of Algebra
Volume	452
DOIs	https://doi.org/10.1016/j.jalgebra.2015.12.022
Publication status	Published - 2016 Apr 15
Externally published	Yes

Keywords

A-invariant
Almost Gorenstein graded ring
Almost Gorenstein local ring
Canonical module
Cohen-Macaulay ring
Multiplicity
Parameter ideal

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2015.12.022

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abstract = "There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.",

keywords = "A-invariant, Almost Gorenstein graded ring, Almost Gorenstein local ring, Canonical module, Cohen-Macaulay ring, Multiplicity, Parameter ideal",

author = "Shiro Goto and Naoyuki Matsuoka and Naoki Taniguchi and Yoshida, {Ken ichi}",

year = "2016",

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doi = "10.1016/j.jalgebra.2015.12.022",

language = "English",

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pages = "263--278",

journal = "Journal of Algebra",

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T1 - The almost Gorenstein Rees algebras of parameters

AU - Goto, Shiro

AU - Matsuoka, Naoyuki

AU - Taniguchi, Naoki

AU - Yoshida, Ken ichi

PY - 2016/4/15

Y1 - 2016/4/15

N2 - There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.

AB - There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.

KW - A-invariant

KW - Almost Gorenstein graded ring

KW - Almost Gorenstein local ring

KW - Canonical module

KW - Cohen-Macaulay ring

KW - Multiplicity

KW - Parameter ideal

UR - http://www.scopus.com/inward/record.url?scp=84960877463&partnerID=8YFLogxK

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U2 - 10.1016/j.jalgebra.2015.12.022

DO - 10.1016/j.jalgebra.2015.12.022

M3 - Article

AN - SCOPUS:84960877463

SN - 0021-8693

VL - 452

SP - 263

EP - 278

JO - Journal of Algebra

JF - Journal of Algebra

ER -

The almost Gorenstein Rees algebras of parameters

Abstract

Keywords

ASJC Scopus subject areas

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