Stanley Depth of Multigraded Modules
Dorin Popescu
TL;DR
This paper investigates Stanley's Conjecture for Cohen-Macaulay multigraded modules, focusing on dimension 2, and extends the results to confirm the conjecture in 5 variables.
Contribution
It provides new results supporting Stanley's Conjecture in specific multigraded modules and extends its validity to five variables.
Findings
Stanley's Conjecture holds in dimension 2 for Cohen-Macaulay modules.
Results confirm the conjecture in the case of 5 variables.
Similar results are extended from codimension 2 to broader cases.
Abstract
The Stanley's Conjecture on Cohen-Macaulay multigraded modules is studied especially in dimension 2. In codimension 2 similar results were obtained by Herzog, Soleyman-Jahan and Yassemi. As a consequence of our results Stanley's Conjecture holds in 5 variables.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Polynomial and algebraic computation