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The structure and homological properties of generalized standard Auslander-Reiten components

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dc.contributor.author Malicki, Piotr
dc.contributor.author Skowroński, Andrzej
dc.date.accessioned 2018-02-08T12:13:28Z
dc.date.available 2018-02-08T12:13:28Z
dc.date.issued 2018-02-08
dc.identifier.uri http://repozytorium.umk.pl/handle/item/4911
dc.description.abstract We describe the structure and homological properties of arbitrary generalized standard Auslander-Reiten components of artin algebras. In particular, we prove that for all but finitely many indecomposable modules in such components the Euler characteristic is defined and nonnegative. Further, we provide a handy criterion for an infinite Auslander-Reiten component of an artin algebra to be generalized standard. We solve also the long standing open problem concerning the structure of artin algebras admitting a separating family of Auslander-Reiten components.
dc.description.sponsorship Supported by the Research Grant DEC-2011/02/A/ST1/00216 of~the National Science Center Poland.
dc.language.iso eng
dc.rights info:eu-repo/semantics/openAccess
dc.subject Artin algebra
dc.subject Auslander-Reiten quiver
dc.subject generalized standard component
dc.subject tilted algebra
dc.subject quasitilted algebra
dc.subject Euler form
dc.subject generically tame algebra
dc.title The structure and homological properties of generalized standard Auslander-Reiten components
dc.type info:eu-repo/semantics/preprint


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