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Monomial Ideals with Primary Components given by Powers of Monomial Prime Ideals

Monomial ideals with primary components given by powers of monomial prime ideals
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 24 Mar 2014Embargo end date: 01 Jan 2013Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 21 (eissn: 1077-8926, Copyright policy )
Authors: Herzog, Jürgen; Vladoiu, Marius;

doi: 10.37236/3813 , 10.48550/arxiv.1310.3409

arXiv: 1310.3409

Monomial Ideals with Primary Components given by Powers of Monomial Prime Ideals

Abstract

We characterize monomial ideals which are intersections of powers of monomial prime ideals and study classes of ideals with this property, among them polymatroidal ideals.

Related Organizations
Keywords

Arithmetic rings and other special commutative rings, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Other special types of modules and ideals in commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, primary decompositions, monomial ideals of intersection type, Mathematik, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Combinatorial aspects of commutative algebra, polymatroidal ideals, edge ideals, 13C13, 13A30, 13F99, 05E40

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green
gold
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