The automorphism group of the sandwich inverse symmetric semigroup
The structure of the automorphism group of the sandwich semigroup IS_n is described in terms of standard group constructions.
math.GR↗
arXiv subjects
G. Y. Tsyaputa
Publications and source records attributed to G. Y. Tsyaputa.
Green's relations on the deformed transformation semigroups
Green's relations on the deformed finite inverse symmetric semigroup $\mathcal{IS}_n$ and the deformed finite symmetric semigroup $\mathcal{T}_n$ are described.
math.RA↗
Transformation Semigroups with the Deformed Multiplication
Pairwise non-isomorphic semigroups obtained from the finite inverse symmetric semigroup $\mathcal{IS}_n ,$ finite symmetric semigroup $\mathcal{T}_n$ and bicyclic semigroup by the deformed multiplication proposed by Ljapin are classified.
math.RA↗
Isolated and nilpotent subsemigroups in the variants of $\IS$
All isolated, completely isolated, and nilpotent subsemigroups in the semigroup $\IS$ of all injective partial transformations of an $n$-element set, considered as a semigroup with a sandwich multiplication are described.
math.RA↗