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Algebra and Discrete Mathematics, 2004, выпуск 3, страницы 21–37
(Mi adm346)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
RESEARCH ARTICLE
Dimensions of finite type for representations of partially ordered sets
Yuriy A. Drozd, Eugene A. Kubichka Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 01033 Kyiv, Ukraine
Аннотация:
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].
Ключевые слова:
Representations of posets, finite type, indecomposable representations.
Образец цитирования:
Yuriy A. Drozd, Eugene A. Kubichka, “Dimensions of finite type for representations of partially ordered sets”, Algebra Discrete Math., 2004, no. 3, 21–37
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm346 https://www.mathnet.ru/rus/adm/y2004/i3/p21
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Страница аннотации: | 201 | PDF полного текста: | 83 | Первая страница: | 1 |
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