On the regularity over positively graded algebras
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Roemer, Tim | |
dc.date.accessioned | 2021-12-23T16:01:22Z | - |
dc.date.available | 2021-12-23T16:01:22Z | - |
dc.date.issued | 2008 | |
dc.identifier.issn | 00218693 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/4925 | - |
dc.description.abstract | We study the relationship between the Tor-regularity and the local-regularity over a positively graded algebra defined over a field which coincide if the algebra is a standard graded polynomial ring. In this case both are characterizations of the so-called Castelnuovo-Mumford regularity. Moreover, we can characterize a standard graded polynomial ring as a K-algebra with extremal properties with respect to the Tor- and the local-regularity. For modules of finite projective dimension we get a nice formula relating the two regularity notions. Interesting examples are given to help to understand the relationship between the Tor- and the local-regularity in general. (C) 2007 Elsevier Inc. All rights reserved. | |
dc.language.iso | en | |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | |
dc.relation.ispartof | JOURNAL OF ALGEBRA | |
dc.subject | free resolutions | |
dc.subject | KOSZUL ALGEBRAS | |
dc.subject | LINEAR FREE RESOLUTIONS | |
dc.subject | linear resolutions | |
dc.subject | local cohomology | |
dc.subject | Mathematics | |
dc.subject | positively graded algebras | |
dc.subject | regularity | |
dc.title | On the regularity over positively graded algebras | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.jalgebra.2007.08.031 | |
dc.identifier.isi | ISI:000252635900001 | |
dc.description.volume | 319 | |
dc.description.issue | 1 | |
dc.description.startpage | 1 | |
dc.description.endpage | 15 | |
dc.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | |
dcterms.isPartOf.abbreviation | J. Algebra | |
dcterms.oaStatus | Green Submitted, Bronze | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | RoTi119 | - |
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