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http://hdl.handle.net/123456789/142
Title: | On representation type of a pair of posets with involution |
Other Titles: | Dedicated to Yu.A. Drozd on the occasion of his 60th birthday |
Authors: | Bondarenko, Vitalij M. |
Keywords: | математика |
Issue Date: | 2004 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
Abstract: | 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 , it is of finite type , 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. |
URI: | http://hdl.handle.net/123456789/142 |
ISSN: | 1726-3255 |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
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adm-n1-1.pdf | 135.53 kB | Adobe PDF | View/Open |
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