Buchsbaumness of certain generalization of the associated graded modules in the equi-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">I</mml:mi></mml:math>-invariant case

Yamagishi, Kikumichi

doi:10.1016/j.jalgebra.2009.08.002

Journal of Algebra

2009

DOI: 10.1016/j.jalgebra.2009.08.002

|View full text |Cite

Buchsbaumness of certain generalization of the associated graded modules in the equi-I-invariant case

Kikumichi Yamagishi

Abstract: The present article introduces a generalization of the associated graded modules, writing G α (a, E). Suppose that the equi-Iinvariant case occurs. Then it is shown that our graded modulewhere m is the maximal ideal of A.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Buchsbaumness of the associated graded rings of filtration

Saloni

2020

J. Algebra Appl.

View full text Add to dashboard Cite

Let [Formula: see text] be a Noetherian local ring of dimension [Formula: see text] and [Formula: see text] an [Formula: see text]-primary ideal of [Formula: see text]. In this paper, we discuss a sufficient condition, for the Buchsbaumness of the local ring [Formula: see text] to be passed onto the associated graded ring of filtration. Let [Formula: see text] denote an [Formula: see text]-good filtration. We prove that if [Formula: see text] is Buchsbaum and the [Formula: see text] -invariant, [Formula: see text] and [Formula: see text], coincide then the associated graded ring [Formula: see text] is Buchsbaum. As an application of our result, we indicate an alternative proof of a conjecture, of Corso on certain boundary conditions for Hilbert coefficients.

show abstract

Buchsbaumness of the associated graded rings of filtration

Saloni

2020

J. Algebra Appl.

View full text Add to dashboard Cite

show abstract

Almost Buchsbaumness of some rings arising from complexes with isolated singularities

Sawaske¹

2020

J. Commut. Algebra

View full text Add to dashboard Cite

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.

Buchsbaumness of certain generalization of the associated graded modules in the equi-I-invariant case

Abstract: The present article introduces a generalization of the associated graded modules, writing G α (a, E). Suppose that the equi-Iinvariant case occurs. Then it is shown that our graded modulewhere m is the maximal ideal of A.

Cited by 2 publications

References 14 publications

Buchsbaumness of the associated graded rings of filtration

Buchsbaumness of the associated graded rings of filtration

Almost Buchsbaumness of some rings arising from complexes with isolated singularities

Contact Info

Product

Resources

About