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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Datum:2018
Hauptverfasser: Kruglyak, S. A., Livinsky, I. V.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/721
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-721
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7212018-04-04T10:03:23Z Orthoscalar representations of the partially ordered set \((N, 4)\) Kruglyak, S. A. Livinsky, I. V. partially ordered set, orthoscalar representation, infinite type 16G20 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/721 Algebra and Discrete Mathematics; Vol 14, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/721/253 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T10:03:23Z
collection OJS
language English
topic partially ordered set
orthoscalar representation
infinite type
16G20
spellingShingle partially ordered set
orthoscalar representation
infinite type
16G20
Kruglyak, S. A.
Livinsky, I. V.
Orthoscalar representations of the partially ordered set \((N, 4)\)
topic_facet partially ordered set
orthoscalar representation
infinite type
16G20
format Article
author Kruglyak, S. A.
Livinsky, I. V.
author_facet Kruglyak, S. A.
Livinsky, I. V.
author_sort Kruglyak, S. A.
title Orthoscalar representations of the partially ordered set \((N, 4)\)
title_short 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_sort orthoscalar representations of the partially ordered set \((n, 4)\)
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/721
work_keys_str_mv AT kruglyaksa orthoscalarrepresentationsofthepartiallyorderedsetn4
AT livinskyiv orthoscalarrepresentationsofthepartiallyorderedsetn4
first_indexed 2025-07-17T10:36:33Z
last_indexed 2025-07-17T10:36:33Z
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