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Preprint . 2022
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zbMATH Open
Article . 2024
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Journal of Commutative Algebra
Article . 2024 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2022
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DIFFERENTIAL MODULES WITH COMPLETE INTERSECTION HOMOLOGY

Differential modules with complete intersection homology
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2024Embargo end date: 01 Mar 2022Publisher:Rocky Mountain Mathematics ConsortiumJournal:Journal of Commutative Algebra, volume 16 (issn: 1939-2346, Copyright policy )
Authors: Banks, Maya; VandeBogert, Keller;

doi: 10.1216/jca.2024.16.151 , 10.48550/arxiv.2203.15017

arXiv: 2203.15017

DIFFERENTIAL MODULES WITH COMPLETE INTERSECTION HOMOLOGY

Abstract

Differential modules are natural generalizations of complexes. In this paper, we study differential modules with complete intersection homology, comparing and contrasting the theory of these differential modules with that of the Koszul complex. We construct a Koszul differential module that directly generalizes the classical Koszul complex and investigate which properties of the Koszul complex can be generalized to this setting.

21 pages

Keywords

complete intersections, DG-algebras, Homological functors on modules of commutative rings (Tor, Ext, etc.), minimal free resolutions, differential modules, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Syzygies, resolutions, complexes and commutative rings, Modules of differentials, Other special types of modules and ideals in commutative rings, FOS: Mathematics, Koszul complex

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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!
0
Average
Average
Average
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