Koszul bicomplexes and generalized Koszul complexes in projective dimension one

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dc.contributor.authorIchim, Bogdan
dc.contributor.authorVetter, Udo
dc.date.accessioned2021-12-23T16:07:20Z-
dc.date.available2021-12-23T16:07:20Z-
dc.date.issued2006
dc.identifier.issn00927872
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/7824-
dc.description.abstractWe describe Koszul type complexes associated with a linear map from any module to a free module, and vice versa with a linear map from a free module to an arbitrary module, generalizing tire classical Koszul complexes. Given a short complex of finite free modules, we assemble these complexes to what we call Koszul bicomplexes. They are used in order to investigate the homology of the Koszul complexes in projective dimension one. As in the case of the classical Koszul complexes, this homology turns out to be grade sensitive. In a special setup, we obtain necessary conditions for a map of free modules to be lengthened to a short complex of free modules.
dc.language.isoen
dc.publisherTAYLOR & FRANCIS INC
dc.relation.ispartofCOMMUNICATIONS IN ALGEBRA
dc.subjectcomplexes
dc.subjectFREE RESOLUTIONS
dc.subjectKoszul complex
dc.subjectMathematics
dc.titleKoszul bicomplexes and generalized Koszul complexes in projective dimension one
dc.typejournal article
dc.identifier.doi10.1080/00927870600876284
dc.identifier.isiISI:000242159000016
dc.description.volume34
dc.description.issue11
dc.description.startpage4131
dc.description.endpage4156
dc.contributor.orcid0000-0002-5068-4557
dc.contributor.researcheridB-8283-2011
dc.publisher.place325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA
dcterms.isPartOf.abbreviationCommun. Algebr.
dcterms.oaStatusGreen Submitted
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