Work

Annihilator of local cohomology modules under localization and completion

Year: 2025

Type: article

Abstract: Let [Formula: see text] be a Noetherian local ring. This paper deals with the annihilator of Artinian local cohomology modules [Formula: see text] in the relation with the structure of the base ring [Formula: see text], for nonnegative integers [Formula: see text] and finitely generated [Formula: see text]-modules [Formula: see text]. First, the catenarity and the unmixedness of local rings are characterized via the compatibility of annihilator of top local cohomology modules under localization and completion, respectively. Second, some necessary and sufficient conditions for a local ring being a quotient of a Cohen–Macaulay local ring are given in term of the annihilator of all local cohomology modules under localization and completion.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500150

Authors: Nguyen Thi Anh Hang, Le Thanh Nhan

Institutions: Thai Nguyen University Of Education, Institute of Mathematics, Vietnam Academy of Science and Technology

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Bộ Giáo dục và Ðào tạo

OpenAlex ID: W4413431463

FWCI:

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