$Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$$

Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$

We study some combinatorial properties of $\wr_p^k \mathcal{IS}_d$. In particular, we calculate its order, the number of idempotents and the number of $\mathcal D$-classes. For a given based graph $\Gamma\subset T$ we compute the number of elements in its $\mathcal D$-class $D_\Gamma$ and...

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Видавець:	Lugansk National Taras Shevchenko University
Дата:	2018
Автор:	Kochubinska, Yevgeniya
Формат:	Стаття
Мова:	English
Опубліковано:	Lugansk National Taras Shevchenko University 2018
Теми:	Wreath product finite inverse symmetric semigroup rooted tree partial automorphism 20M18 20M20 05C05
Онлайн доступ:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/834
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Algebra and Discrete Mathematics

id	oai:ojs.admjournal.luguniv.edu.ua:article-834
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-8342018-03-21T11:52:32Z Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$ Kochubinska, Yevgeniya Wreath product, finite inverse symmetric semigroup, rooted tree, partial automorphism 20M18, 20M20, 05C05 We study some combinatorial properties of $\wr_p^k \mathcal{IS}_d$. In particular, we calculate its order, the number of idempotents and the number of $\mathcal D$-classes. For a given based graph $\Gamma\subset T$ we compute the number of elements in its $\mathcal D$-class $D_\Gamma$ and the number of $\mathcal R$- and $\mathcal L$-classes in $D_\Gamma$. 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/834 Algebra and Discrete Mathematics; Vol 6, No 1 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/834/365 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
collection	OJS
language	English
topic	Wreath product finite inverse symmetric semigroup rooted tree partial automorphism 20M18 20M20 05C05
spellingShingle	Wreath product finite inverse symmetric semigroup rooted tree partial automorphism 20M18 20M20 05C05 Kochubinska, Yevgeniya Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
topic_facet	Wreath product finite inverse symmetric semigroup rooted tree partial automorphism 20M18 20M20 05C05
format	Article
author	Kochubinska, Yevgeniya
author_facet	Kochubinska, Yevgeniya
author_sort	Kochubinska, Yevgeniya
title	Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
title_short	Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
title_full	Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
title_fullStr	Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
title_full_unstemmed	Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
title_sort	combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{is}_d$
description	We study some combinatorial properties of $\wr_p^k \mathcal{IS}_d$. In particular, we calculate its order, the number of idempotents and the number of $\mathcal D$-classes. For a given based graph $\Gamma\subset T$ we compute the number of elements in its $\mathcal D$-class $D_\Gamma$ and the number of $\mathcal R$- and $\mathcal L$-classes in $D_\Gamma$.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/834
work_keys_str_mv	AT kochubinskayevgeniya combinatoricsofpartialwreathpoweroffiniteinversesymmetricsemigroupmathcalisd
first_indexed	2024-04-12T06:27:45Z
last_indexed	2024-04-12T06:27:45Z
_version_	1796109254690603008

Combinatorics of partial wreath power of finite inverse symmetric semigroup \(\mathcal{IS}_d\)

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