Monomial Ideals and Algebraic Properties leaf node


URI

https://openalex.org/T12069

Label

Monomial Ideals and Algebraic Properties

Description

This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology.

Implementation

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@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://openalex.org/T12069> a skos:Concept ;
    rdfs:label "Monomial Ideals and Algebraic Properties"@en ;
    rdfs:isDefinedBy openalex: ;
    owl:sameAs <https://en.wikipedia.org/wiki/Monomial_ideal>,
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    skos:broader oasubfields:2602 ;
    skos:definition "This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology."@en ;
    skos:inScheme openalex: ;
    skos:prefLabel "Monomial Ideals and Algebraic Properties"@en ;
    openalex:cited_by_count 216137 ;
    openalex:works_count 22574 .