Combinatorics of partial wreath power of finite inverse symmetric semigroup ISd

We study some combinatorial properties of ≀ k pISd. In particular, we calculate its order, the number of idempotents and the number of D-classes. For a given based graph Γ ⊂ T we compute the number of elements in its D-class DΓ and the number of R- and L-classes in DΓ.

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Bibliographic Details
Date:2007
Main Author: Kochubinska, Y.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Series:Algebra and Discrete Mathematics
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/157348
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Combinatorics of partial wreath power of finite inverse symmetric semigroup ISd / Y. Kochubinska // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 49–60. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine