Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$
Eugenia Kochubinska·2020-06-28·via math.CO updates on arXiv.org
We study some combinatorial properties of partial wreath $k$-th power of the semigroup $\mathcal{IS}_d$. In particular, we calculate its order, the number of idempotents and the number of D-classes.