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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
Main Author: Kochubinska, Y.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157348
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