Orthoscalar representations of the partially ordered set (N, 4)

We obtain a one-parameter series of orthoscalar representations of the partially ordered set (N, 4). This proves that the classification of such representations is a problem of infinite type.

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Published in:Algebra and Discrete Mathematics
Date:2012
Main Authors: Kruglyak, S.A., Livinsky, I.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152239
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Orthoscalar representations of the partially ordered set (N, 4) / S.A. Kruglyak, I.V. Livinsky // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 217–229. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kruglyak, S.A.
Livinsky, I.V.
author_facet Kruglyak, S.A.
Livinsky, I.V.
citation_txt Orthoscalar representations of the partially ordered set (N, 4) / S.A. Kruglyak, I.V. Livinsky // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 217–229. — Бібліогр.: 18 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description We obtain a one-parameter series of orthoscalar representations of the partially ordered set (N, 4). This proves that the classification of such representations is a problem of infinite type.
first_indexed 2025-11-25T14:38:20Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T14:38:20Z
publishDate 2012
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Kruglyak, S.A.
Livinsky, I.V.
2019-06-09T06:07:51Z
2019-06-09T06:07:51Z
2012
Orthoscalar representations of the partially ordered set (N, 4) / S.A. Kruglyak, I.V. Livinsky // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 217–229. — Бібліогр.: 18 назв. — англ.
1726-3255
2010 MSC:16G20.
https://nasplib.isofts.kiev.ua/handle/123456789/152239
We obtain a one-parameter series of orthoscalar representations of the partially ordered set (N, 4). This proves that the classification of such representations is a problem of infinite type.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Orthoscalar representations of the partially ordered set (N, 4)
Article
published earlier
spellingShingle Orthoscalar representations of the partially ordered set (N, 4)
Kruglyak, S.A.
Livinsky, I.V.
title Orthoscalar representations of the partially ordered set (N, 4)
title_full Orthoscalar representations of the partially ordered set (N, 4)
title_fullStr Orthoscalar representations of the partially ordered set (N, 4)
title_full_unstemmed Orthoscalar representations of the partially ordered set (N, 4)
title_short Orthoscalar representations of the partially ordered set (N, 4)
title_sort orthoscalar representations of the partially ordered set (n, 4)
url https://nasplib.isofts.kiev.ua/handle/123456789/152239
work_keys_str_mv AT kruglyaksa orthoscalarrepresentationsofthepartiallyorderedsetn4
AT livinskyiv orthoscalarrepresentationsofthepartiallyorderedsetn4