Journal article

On isomorphisms of R- and L-cross-sections of wreath products of finite inverse symmetric semigroups

Year:

2009

Published in:

World Scientific
Regular rooted tree
partial automorphism
finite inverse symmetric semigroup
partial wreath product
Green’s relations
cross-sections

We classify R- and L-cross-sections of wreath products of finite inverse symmetric semigroups ISm p ISn up to isomorphism. We show that every isomorphism of R (L-) cross-sections of ISm p ISn is a conjugacy. As an auxiliary result, we get that every isomorphism of R- (L-) cross-sections of ISn is also a conjugacy. We also compute the number of non-isomorphic R (L-) cross-sections of ISm p ISn.

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