TL;DR
This paper introduces multigraded modules of Borel type, extending existing ideal theory results, and demonstrates their sequentially Cohen-Macaulay property, pretty cleanness, and provides a regularity formula.
Contribution
It extends the theory of Borel type ideals to multigraded modules and establishes their key algebraic properties.
Findings
Modules of Borel type are sequentially Cohen-Macaulay.
Modules of Borel type are pretty clean.
A formula for the regularity of modules of Borel type is provided.
Abstract
In this paper, we introduce the multigraded modules of Borel type and extend several results from the theory of ideals of Borel type. We prove that modules of Borel type are sequentially Cohen Macaulay and pretty clean. Also, we give a formula for the regularity of modules of Borel type.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation