Almost Gorenstein rings - towards a theory of higher dimension

Shiro Goto; Ryo Takahashi; Naoki Taniguchi

doi:10.1016/j.jpaa.2014.09.022

Almost Gorenstein rings - towards a theory of higher dimension

Shiro Goto^*, Ryo Takahashi, Naoki Taniguchi

^*Corresponding author for this work

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

50 Citations (Scopus)

Abstract

The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fröberg for one-dimensional Noetherian local rings which are analytically unramified has been generalized by S. Goto, N. Matsuoka and T.T. Phuong to one-dimensional Cohen-Macaulay local rings, possessing canonical ideals. The present purpose is to propose a higher-dimensional notion and develop the basic theory. The graded version is also posed and explored.

Original language	English
Pages (from-to)	2666-2712
Number of pages	47
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2014.09.022
Publication status	Published - 2015 Jul 1
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2014.09.022

Cite this

@article{a981d0e7489645c3b0d8173d53eb9df4,

title = "Almost Gorenstein rings - towards a theory of higher dimension",

abstract = "The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fr{\"o}berg for one-dimensional Noetherian local rings which are analytically unramified has been generalized by S. Goto, N. Matsuoka and T.T. Phuong to one-dimensional Cohen-Macaulay local rings, possessing canonical ideals. The present purpose is to propose a higher-dimensional notion and develop the basic theory. The graded version is also posed and explored.",

author = "Shiro Goto and Ryo Takahashi and Naoki Taniguchi",

year = "2015",

month = jul,

day = "1",

doi = "10.1016/j.jpaa.2014.09.022",

language = "English",

volume = "219",

pages = "2666--2712",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "7",

}

TY - JOUR

T1 - Almost Gorenstein rings - towards a theory of higher dimension

AU - Goto, Shiro

AU - Takahashi, Ryo

AU - Taniguchi, Naoki

PY - 2015/7/1

Y1 - 2015/7/1

N2 - The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fröberg for one-dimensional Noetherian local rings which are analytically unramified has been generalized by S. Goto, N. Matsuoka and T.T. Phuong to one-dimensional Cohen-Macaulay local rings, possessing canonical ideals. The present purpose is to propose a higher-dimensional notion and develop the basic theory. The graded version is also posed and explored.

AB - The notion of almost Gorenstein local ring introduced by V. Barucci and R. Fröberg for one-dimensional Noetherian local rings which are analytically unramified has been generalized by S. Goto, N. Matsuoka and T.T. Phuong to one-dimensional Cohen-Macaulay local rings, possessing canonical ideals. The present purpose is to propose a higher-dimensional notion and develop the basic theory. The graded version is also posed and explored.

UR - http://www.scopus.com/inward/record.url?scp=84924975525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924975525&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2014.09.022

DO - 10.1016/j.jpaa.2014.09.022

M3 - Article

AN - SCOPUS:84924975525

VL - 219

SP - 2666

EP - 2712

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 7

ER -

Almost Gorenstein rings - towards a theory of higher dimension

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this