On posets of width two with positive Tits form

We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.

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Bibliographic Details
Date:2018
Main Authors: Bondarenko, Vitalij M., Styopochkina, Marina 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/933
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Bondarenko, Vitalij M.
Styopochkina, Marina V.
author_facet Bondarenko, Vitalij M.
Styopochkina, Marina V.
author_sort Bondarenko, Vitalij M.
baseUrl_str
collection OJS
datestamp_date 2018-03-21T06:34:59Z
description We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
first_indexed 2025-12-02T15:28:45Z
format Article
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institution Algebra and Discrete Mathematics
language English
last_indexed 2025-12-02T15:28:45Z
publishDate 2018
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-9332018-03-21T06:34:59Z On posets of width two with positive Tits form Bondarenko, Vitalij M. Styopochkina, Marina V. minimax (semiminimax) sum, (min, max)-equivalent posets, positive form, the quadratic Tits form 15A63, 16G20, 16G60 We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/933 Algebra and Discrete Mathematics; Vol 4, No 2 (2005) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/933/462 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle minimax (semiminimax) sum
(min
max)-equivalent posets
positive form
the quadratic Tits form
15A63
16G20
16G60
Bondarenko, Vitalij M.
Styopochkina, Marina V.
On posets of width two with positive Tits form
title On posets of width two with positive Tits form
title_full On posets of width two with positive Tits form
title_fullStr On posets of width two with positive Tits form
title_full_unstemmed On posets of width two with positive Tits form
title_short On posets of width two with positive Tits form
title_sort on posets of width two with positive tits form
topic minimax (semiminimax) sum
(min
max)-equivalent posets
positive form
the quadratic Tits form
15A63
16G20
16G60
topic_facet minimax (semiminimax) sum
(min
max)-equivalent posets
positive form
the quadratic Tits form
15A63
16G20
16G60
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/933
work_keys_str_mv AT bondarenkovitalijm onposetsofwidthtwowithpositivetitsform
AT styopochkinamarinav onposetsofwidthtwowithpositivetitsform