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Algebra and Discrete Mathematics, 2005, выпуск 1, страницы 1–7
(Mi adm285)
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RESEARCH ARTICLE
On representation type of a pair of posets with involution
Vitalij M. Bondarenko Institute of Mathematics,
Tereshchenkivska 3, 01601 Kyiv, Ukraine
Аннотация:
In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with nontrivial one, then the pair is tame $\Leftrightarrow$ it is of finite type $\Leftrightarrow$ the poset with nontrivial involution is a $*$-semichain ($*$ being the involution). The case that each of the posets with involution is not a chain with trivial one was considered by the author earlier. In proving our result we do not use the known technically difficult results on representation type of posets with involution.
Ключевые слова:
semichain, tame, wild, representation, category.
Образец цитирования:
Vitalij M. Bondarenko, “On representation type of a pair of posets with involution”, Algebra Discrete Math., 2005, no. 1, 1–7
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm285 https://www.mathnet.ru/rus/adm/y2005/i1/p1
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Страница аннотации: | 108 | PDF полного текста: | 60 | Первая страница: | 1 |
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