Some results on the cofiniteness and annihilators of local cohomology modules

Rastgoo, F.; Nazari, Alireza

doi:10.1080/00927872.2017.1407419

Communications in Algebra

2018

DOI: 10.1080/00927872.2017.1407419

|View full text |Cite

Some results on the cofiniteness and annihilators of local cohomology modules

F. Rastgoo

Alireza Nazari

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Faltings’ annihilator theorem and almost Cohen–Macaulay rings

Ando¹

2023

J. Algebra Appl.

View full text Add to dashboard Cite

Faltings’ annihilator theorem is an important result in local cohomology theory. Recently, Doustimehr and Naghipour generalized the Falitings’ annihilator theorem. They proved that if [Formula: see text] is a homomorphic image of a Gorenstein ring, then [Formula: see text], where [Formula: see text] and [Formula: see text]. In this paper, we study the relation between [Formula: see text] and [Formula: see text], and prove that if [Formula: see text] is an almost Cohen–Macaulay ring, then [Formula: see text]. Using this result, we prove that if [Formula: see text] is a homomorphic image of a Cohen–Macaulay ring, then [Formula: see text].

show abstract

Faltings’ annihilator theorem and almost Cohen–Macaulay rings

Ando¹

2023

J. Algebra Appl.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Some results on the cofiniteness and annihilators of local cohomology modules

Cited by 1 publication

References 20 publications

Faltings’ annihilator theorem and almost Cohen–Macaulay rings

Faltings’ annihilator theorem and almost Cohen–Macaulay rings

Contact Info

Product

Resources

About