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.

Saved in:
Bibliographic Details
Date:2018
Main Authors: Kruglyak, S. A., Livinsky, I. V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/721
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics
_version_ 1856543358633115648
author Kruglyak, S. A.
Livinsky, I. V.
author_facet Kruglyak, S. A.
Livinsky, I. V.
author_sort Kruglyak, S. A.
baseUrl_str
collection OJS
datestamp_date 2018-04-04T10:03:23Z
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 2026-02-08T08:01:58Z
format Article
id admjournalluguniveduua-article-721
institution Algebra and Discrete Mathematics
language English
last_indexed 2026-02-08T08:01:58Z
publishDate 2018
publisher Lugansk National Taras Shevchenko University
record_format ojs
spelling admjournalluguniveduua-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
spellingShingle partially ordered set
orthoscalar representation
infinite type
16G20
Kruglyak, S. A.
Livinsky, I. V.
Orthoscalar representations of the partially ordered set \((N, 4)\)
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 \((n, 4)\)
topic partially ordered set
orthoscalar representation
infinite type
16G20
topic_facet partially ordered set
orthoscalar representation
infinite type
16G20
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/721
work_keys_str_mv AT kruglyaksa orthoscalarrepresentationsofthepartiallyorderedsetn4
AT livinskyiv orthoscalarrepresentationsofthepartiallyorderedsetn4