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

^*この研究の対応する著者

研究成果: Article › 査読

13 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	263-278
ページ数	16
ジャーナル	Journal of Algebra
巻	452
DOI	https://doi.org/10.1016/j.jalgebra.2015.12.022
出版ステータス	Published - 2016 4月 15
外部発表	はい

ASJC Scopus subject areas

代数と数論

文献へのアクセス

10.1016/j.jalgebra.2015.12.022

他のファイルとリンク

引用スタイル

@article{51356ebd128a43ebaa2b41fb505904c8,

title = "The almost Gorenstein Rees algebras of parameters",

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",

month = apr,

day = "15",

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

language = "English",

volume = "452",

pages = "263--278",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

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

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

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

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル