Dimensions of finite type for representations of partially ordered sets

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2004, Vol. 3
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Algebra and Discrete Mathematics, 2004, № 3
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dc.contributor.author	Drozd, Y.A.
dc.contributor.author	Kubichka, E.A.
dc.date.accessioned	2019-06-18T13:27:21Z
dc.date.available	2019-06-18T13:27:21Z
dc.date.issued	2004
dc.identifier.citation	Dimensions of finite type for representations of partially ordered sets / Y.A. Drozd, E.A. Kubichka // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 21–37. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.isbn	2000 Mathematics Subject Classification: 16G20,16G60.
dc.identifier.issn	1726-3255
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156411
dc.description.abstract	We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a dimension to be of finite type. We also characterize those dimensions of finite type, for which there is an indecomposable representation of this dimension, and show that there can be at most one indecomposable representation of any dimension of finite type. Moreover, if such a representation exists, it only has scalar endomorphisms. These results (Theorem 1.6, page 25) generalize those of [5, 1, 9].	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Dimensions of finite type for representations of partially ordered sets	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA