Topics on sequentially Cohen-Macaulay modules
Naoki Taniguchi, Tran Thi Phuong, Nguyen Thi Dung, Tran Nguyen An
TL;DR
This paper investigates the properties of sequentially Cohen-Macaulay modules, focusing on their behavior under localization and module-finite ring extensions, to deepen understanding of their structural characteristics.
Contribution
It provides new insights into when the sequentially Cohen-Macaulay property is preserved during localization and module-finite extensions.
Findings
Conditions for preservation of the property under localization
Criteria for the property to be maintained in module-finite extensions
Enhanced understanding of the structural behavior of these modules
Abstract
In this paper, we study the two different topics related to sequentially Cohen-Macaulay modules. The questions are when the sequentially Cohen-Macaulay property preserve the localization and the module-finite extension of rings.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Commutative Algebra and Its Applications