Purity and almost split morphisms in abstract homotopy categories: A unified approach via Brown representability

dc.contributor.authorBeligiannis, A.en
dc.date.accessioned2015-11-24T17:27:43Z
dc.date.available2015-11-24T17:27:43Z
dc.identifier.issn1386-923X-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13436
dc.rightsDefault Licence-
dc.subjectpurityen
dc.subjectalmost split morphismsen
dc.subjectbrown representabilityen
dc.subjectphantom mapsen
dc.subjectabstract homotopy categoriesen
dc.subjectpure-injectivesen
dc.subjectflat functorsen
dc.subjectapproximationsen
dc.subjectartin-algebrasen
dc.subjectmodulesen
dc.subjectsubcategoriesen
dc.subjecthomologyen
dc.subjectdualityen
dc.subjecttheoremen
dc.subjectringsen
dc.titlePurity and almost split morphisms in abstract homotopy categories: A unified approach via Brown representabilityen
heal.abstractOur aim in this paper is to develop a theory of purity and to prove in a unified conceptual way the existence of almost split morphisms, almost split sequences and almost split triangles in abstract homotopy categories, a rather omnipresent class of categories of interest in representation theory. Our main tool for doing this is the classical Brown representability theorem.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.secondary<Go to ISI>://000178532300003-
heal.journalNameAlgebras and Representation Theoryen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2002-
heal.publisherSpringer Verlag (Germany)en
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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