Combinatorics of partial wreath power of finite inverse symmetric semigroup ISd

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Author: Kochubinska, Y.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157348
• 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.

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.