Categorical properties of some algorithms of differentiation for equipped posets
In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, an algorithm \(A_{z}\) is introduced to build equipped pose...
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| Date: | 2022 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2022
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1647 |
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oai:ojs.admjournal.luguniv.edu.ua:article-16472022-06-15T04:49:44Z Categorical properties of some algorithms of differentiation for equipped posets Gaviria, I. D. M. Cañadas, A. M. algorithm of differentiation, Auslander-Reiten quiver, categorical equivalence, equipped poset, poset representation 16G20, 16G60, 16G30 In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, an algorithm \(A_{z}\) is introduced to build equipped posets with a pair of points \((a, b)\) suitable for differentiation VII such that the subset of strong points related with the weak point \(a\) is not empty. Lugansk National Taras Shevchenko University COLCIENCIAS CONVOCATORIA 727-2015 2022-06-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1647 10.12958/adm1647 Algebra and Discrete Mathematics; Vol 33, No 1 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1647/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1647/735 Copyright (c) 2022 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2022-06-15T04:49:44Z |
| collection |
OJS |
| language |
English |
| topic |
algorithm of differentiation Auslander-Reiten quiver categorical equivalence equipped poset poset representation 16G20 16G60 16G30 |
| spellingShingle |
algorithm of differentiation Auslander-Reiten quiver categorical equivalence equipped poset poset representation 16G20 16G60 16G30 Gaviria, I. D. M. Cañadas, A. M. Categorical properties of some algorithms of differentiation for equipped posets |
| topic_facet |
algorithm of differentiation Auslander-Reiten quiver categorical equivalence equipped poset poset representation 16G20 16G60 16G30 |
| format |
Article |
| author |
Gaviria, I. D. M. Cañadas, A. M. |
| author_facet |
Gaviria, I. D. M. Cañadas, A. M. |
| author_sort |
Gaviria, I. D. M. |
| title |
Categorical properties of some algorithms of differentiation for equipped posets |
| title_short |
Categorical properties of some algorithms of differentiation for equipped posets |
| title_full |
Categorical properties of some algorithms of differentiation for equipped posets |
| title_fullStr |
Categorical properties of some algorithms of differentiation for equipped posets |
| title_full_unstemmed |
Categorical properties of some algorithms of differentiation for equipped posets |
| title_sort |
categorical properties of some algorithms of differentiation for equipped posets |
| description |
In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, an algorithm \(A_{z}\) is introduced to build equipped posets with a pair of points \((a, b)\) suitable for differentiation VII such that the subset of strong points related with the weak point \(a\) is not empty. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2022 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1647 |
| work_keys_str_mv |
AT gaviriaidm categoricalpropertiesofsomealgorithmsofdifferentiationforequippedposets AT canadasam categoricalpropertiesofsomealgorithmsofdifferentiationforequippedposets |
| first_indexed |
2025-07-17T10:34:18Z |
| last_indexed |
2025-07-17T10:34:18Z |
| _version_ |
1837889968780869632 |