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dc.contributor.author |
Bondarenko, V.M. |
|
dc.date.accessioned |
2019-06-18T17:49:52Z |
|
dc.date.available |
2019-06-18T17:49:52Z |
|
dc.date.issued |
2005 |
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dc.identifier.citation |
On representation type of a pair of posets with involution / V.M. Bondarenko // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 1–7. — Бібліогр.: 12 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
|
dc.identifier.other |
2000 Mathematics Subject Classification: 15A, 16G. |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/156608 |
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dc.description.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. |
uk_UA |
dc.description.sponsorship |
Dedicated to Yu.A. Drozd on the occasion of his 60th birthday |
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 |
On representation type of a pair of posets with involution |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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