Work

About the Cohen–Macaulay defect and almost Cohen–Macaulay rings

Year: 2024

Type: article

Abstract: We notice the connection between almost Cohen–Macaulay rings and the Cohen–Macaulay defect. We introduce a Serre-type condition for modules that is connected to the Cohen–Macaulay defect in the same way that the condition [Formula: see text] is connected to the Cohen–Macaulay modules.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826500672

Author: Cristodor Ionescu

Institution: IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403456107

FWCI:

Cites: 14

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Related to: 10