Modules of finite length

Tugba Yildirim; Sevgi Harman

Modules of finite length

Tugba Yildirim
, Sevgi Harman

Matematik Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

In this paper, we first present necessary and sufficient conditions for various modules to be of finite length. We then use our results to give an alternative proof of the well-known result that if R is a Noetherian local ring with maximal ideal M and M is a finitely generated R-module of dimension d, then H^d_M(M) is finitely generated if and only if d = 0.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	121-131
Sayfa sayısı	11
Dergi	Mathematical Reports
Hacim	22
Basın numarası	2
Yayın durumu	Yayınlandı - 2020

Bibliyografik not

Publisher Copyright:
© 2020 Editura Academiei Romane. All rights reserved.

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Link to publication in Scopus

Alıntı Yap

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title = "Modules of finite length",

abstract = "In this paper, we first present necessary and sufficient conditions for various modules to be of finite length. We then use our results to give an alternative proof of the well-known result that if R is a Noetherian local ring with maximal ideal M and M is a finitely generated R-module of dimension d, then HdM(M) is finitely generated if and only if d = 0.",

keywords = "Divisible modules, Local cohomology modules, Simple modules",

author = "Tugba Yildirim and Sevgi Harman",

year = "2020",

language = "English",

volume = "22",

pages = "121--131",

journal = "Mathematical Reports",

issn = "1582-3067",

publisher = "Publishing House of the Romanian Academy",

number = "2",

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TY - JOUR

T1 - Modules of finite length

AU - Yildirim, Tugba

AU - Harman, Sevgi

PY - 2020

Y1 - 2020

N2 - In this paper, we first present necessary and sufficient conditions for various modules to be of finite length. We then use our results to give an alternative proof of the well-known result that if R is a Noetherian local ring with maximal ideal M and M is a finitely generated R-module of dimension d, then HdM(M) is finitely generated if and only if d = 0.

AB - In this paper, we first present necessary and sufficient conditions for various modules to be of finite length. We then use our results to give an alternative proof of the well-known result that if R is a Noetherian local ring with maximal ideal M and M is a finitely generated R-module of dimension d, then HdM(M) is finitely generated if and only if d = 0.

KW - Divisible modules

KW - Local cohomology modules

KW - Simple modules

UR - https://www.scopus.com/pages/publications/85091449351

M3 - Article

AN - SCOPUS:85091449351

SN - 1582-3067

VL - 22

SP - 121

EP - 131

JO - Mathematical Reports

JF - Mathematical Reports

IS - 2

ER -

Modules of finite length

Özet

Bibliyografik not

Diğer Dosyalar ve Linkler

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