Dimensions of finite type for representations of partially ordered sets
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dimensions of finite type for representations of partially ordered sets
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| Creator |
Drozd, Y.A.
Kubichka, E.A. |
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| Description |
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]. |
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| Date |
2019-06-18T13:27:21Z
2019-06-18T13:27:21Z 2004 |
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| Type |
Article
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| Identifier |
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.
2000 Mathematics Subject Classification: 16G20,16G60. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/156411 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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