Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)

Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)

We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\).

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Bibliographic Details
Date:2018
Main Author: Pyekhtyeryev, Vasyl
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Inverse symmetric semigroup
Green’s relations
cross-sections
posets
20M20
20M10
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-820
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-8202018-03-22T09:42:02Z Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) Pyekhtyeryev, Vasyl Inverse symmetric semigroup, Green’s relations, cross-sections, posets 20M20, 20M10 We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\). Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820 Algebra and Discrete Mathematics; Vol 7, No 3 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820/350 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-03-22T09:42:02Z
collection OJS
language English
topic Inverse symmetric semigroup
Green’s relations
cross-sections
posets
20M20
20M10
spellingShingle Inverse symmetric semigroup
Green’s relations
cross-sections
posets
20M20
20M10
Pyekhtyeryev, Vasyl
Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
topic_facet Inverse symmetric semigroup
Green’s relations
cross-sections
posets
20M20
20M10
format Article
author Pyekhtyeryev, Vasyl
author_facet Pyekhtyeryev, Vasyl
author_sort Pyekhtyeryev, Vasyl
title Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
title_short Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
title_full Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
title_fullStr Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
title_full_unstemmed Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)
title_sort idempotent \(\mathcal{d}\)-cross-sections of the finite inverse symmetric semigroup \(is_n\)
description We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\).
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820
work_keys_str_mv AT pyekhtyeryevvasyl idempotentmathcaldcrosssectionsofthefiniteinversesymmetricsemigroupisn
first_indexed 2025-07-17T10:34:43Z
last_indexed 2025-07-17T10:34:43Z
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