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dc.contributor.authorBeligiannis, A.en
dc.date.accessioned2015-11-24T17:22:30Z-
dc.date.available2015-11-24T17:22:30Z-
dc.identifier.issn0021-8693-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12624-
dc.rightsDefault Licence-
dc.subjectartin algebrasen
dc.subjectcohen-macaulay modulesen
dc.subjectgorenstein ringsen
dc.subjectstable categoriesen
dc.subjectcovariantlyen
dc.subjectcontravariantly finite and definable subcategoriesen
dc.subjecttorsion pairs and cotorsion pairsen
dc.subjecttriangulated categoriesen
dc.subjectcompact objectsen
dc.subjecttelescope conjectureen
dc.subjectgorenstein symmetry conjectureen
dc.subjectcontravariantly finite subcategoriesen
dc.subjectsmashing subcategoriesen
dc.subjectbrown representabilityen
dc.subjectabelian categoriesen
dc.subjectstable equivalenceen
dc.subjectsplit-sequencesen
dc.subjectartin algebrasen
dc.subjectlocalizationen
dc.subjectspectraen
dc.subjectconjectureen
dc.titleCohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebrasen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1016/j.jalgebra.2005.02.022-
heal.identifier.secondary<Go to ISI>://000229227400006-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0021869305001390/1-s2.0-S0021869305001390-main.pdf?_tid=fd57effe84f9df662bc3afcd84eb6c88&acdnat=1338976159_f6940568cfb4105a902a7dafac18aed4-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2005-
heal.abstractWe use torsion pairs in stable categories and cotorsion pairs in modules categories to study, in General infinitely generated, Cohen-Macaulay modules and (a generalization of) modules of finite projective or injective dimension over an Artin algebra. We concentrate our investigation to the study of virtually Gorenstein algebras which provide a common generalization of Gorenstein algebras and aluebras of finite representation or Cohen-Macaulay type. This class of algebras on the one hand has rich homological structure and satisfies several representation/torsion theoretic finiteness conditions, and on the other hand it is closed under various operations, for instance derived equivalences and stable equivalences of Morita type. In addition virtual Gorensteinness provides a useful tool for the study of the Gorenstein Symmetry Conjecture and modified versions of the Telescope Conjecture for module or stable categories. (c) 2005 Elsevier Inc. All rights reserved.en
heal.publisherElsevieren
heal.journalNameJournal of Algebraen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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