Sequentially Cohen-Macaulay Rees algebras
Naoki Taniguchi, Tran Thi Phuong, Nguyen Thi Dung, Tran Nguyen An
TL;DR
This paper investigates conditions under which Rees algebras of arbitrary ideal filtrations are sequentially Cohen-Macaulay, extending previous restricted cases to a more general setting.
Contribution
It generalizes existing results on sequentially Cohen-Macaulay Rees algebras to broader classes of ideal filtrations.
Findings
Provides new criteria for sequentially Cohen-Macaulay property
Extends previous results to arbitrary filtrations
Enhances understanding of Rees algebra structures
Abstract
This paper studies the question of when the Rees algebras associated to arbitrary filtration of ideals are sequentially Cohen-Macaulay. Although this problem has been already investigated by N. T. Cuong, S. Goto and H. L. Truong, their situation is quite a bit of restricted, so we are eager to try the generalization of their results.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Rings, Modules, and Algebras