ON ISOMORPHISMS OF $\mathcal{R}$- AND $\mathcal{L}$-CROSS-SECTIONS OF WREATH PRODUCTS OF FINITE INVERSE SYMMETRIC SEMIGROUPS
Eugenia Kochubinska · International Journal of Algebra and Computation · 2009
We classify [Formula: see text]- and [Formula: see text]-cross-sections of wreath products of finite inverse symmetric semigroups [Formula: see text] up to isomorphism. We show that every isomorphism of [Formula: see text] cross-sections of [Formula: see text] is a conjugacy. As an auxiliary result, we get that every isomorphism of [Formula: see text] cross-sections of [Formula: see text] is also a conjugacy. We also compute the number of non-isomorphic [Formula: see text] cross-sections of [Formula: see text].