Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2618
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dc.contributor.authorReiten, I-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2007-11-15T14:33:55Z-
dc.date.available2007-11-15T14:33:55Z-
dc.date.issued2001-
dc.identifier.citationALGEBRAS AND REPRESENTATION THEORY, 4(1). p. 1-23-
dc.identifier.issn1386-923X-
dc.identifier.urihttp://hdl.handle.net/1942/2618-
dc.description.abstractLet C be a connected Noetherian hereditary Abelian category with a Serre functor over an algebraically closed field k, with finite-dimensional homomorphism and extension spaces, Using the classification of such categories from our 1999 preprint, we prove that if C has some object of infinite length, then the Grothendieck group of C is finitely generated if and only if C has a tilting object.-
dc.format.extent258965 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoen-
dc.publisherKLUWER ACADEMIC PUBL-
dc.subject.otherGrothendieck group; tilting object; hereditary Abelian category; hereditary order; quotient category-
dc.titleGrothendieck groups and tilting objects-
dc.typeJournal Contribution-
dc.identifier.epage23-
dc.identifier.issue1-
dc.identifier.spage1-
dc.identifier.volume4-
local.format.pages23-
local.bibliographicCitation.jcatA1-
dc.description.notesNorwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway. Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Reiten, I, Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway.-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.bibliographicCitation.oldjcatA1-
dc.identifier.isi000171809100001-
item.validationecoom 2002-
item.accessRightsClosed Access-
item.fulltextWith Fulltext-
item.fullcitationReiten, I & VAN DEN BERGH, Michel (2001) Grothendieck groups and tilting objects. In: ALGEBRAS AND REPRESENTATION THEORY, 4(1). p. 1-23.-
item.contributorReiten, I-
item.contributorVAN DEN BERGH, Michel-
crisitem.journal.issn1386-923X-
crisitem.journal.eissn1572-9079-
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