SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness
Ernesto Lax
TL;DR
The paper presents SCMAlgebras, a Macaulay2 package designed to computationally verify whether modules or ideals are sequentially Cohen-Macaulay, facilitating algebraic research and education.
Contribution
It introduces a new software package that automates the checking of sequential Cohen-Macaulayness in modules and ideals within Macaulay2.
Findings
The package accurately computes modules of deficiency.
It effectively identifies sequential Cohen-Macaulay modules and ideals.
The tool is demonstrated through practical examples.
Abstract
We introduce the Macaulay2 package SCMAlgebras. It provides functions for computing the modules of deficiency and the filter ideals, in order to check whether a module or an ideal is sequentially Cohen-Macaulay. After the basic algebraic notions and results are recalled, the main features of the package are described through examples
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications