$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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Datum:	2018
1. Verfasser:	Pyekhtyeryev, Vasyl
Format:	Artikel
Sprache:	English
Veröffentlicht:	Lugansk National Taras Shevchenko University 2018
Schlagworte:	Inverse symmetric semigroup Green’s relations cross-sections posets 20M20 20M10
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820
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Назва журналу:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	admjournalluguniveduua-article-820
record_format	ojs
spelling	admjournalluguniveduua-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	2025-12-02T15:41:04Z
last_indexed	2025-12-02T15:41:04Z
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Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)

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