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

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.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2024-10-17
DOI
https://doi.org/10.1142/s0219498826500672
Primary Topic
Commutative Algebra and Its Applications
Type
article
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article

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

Cristodor Ionescu
Journal of Algebra and Its Applications
Commutative Algebra and Its Applications
article

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

Cristodor Ionescu
article en

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.

Journal of Algebra and Its Applications
Romanian Academy (RO)
Openalex Percentile: Top 67%
Commutative Algebra and Its Applications
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About the Cohen–Macaulay defect and almost Cohen–Macaulay rings — Cristodor Ionescu · Journal of Algebra and Its Applications (2024) | TGRS Research Map | TGRS