Transformation Semigroups with the Deformed Multiplication

Abstract

Pairwise non-isomorphic semigroups obtained from the finite inverse symmetric semigroup ${\mathcal{I}\mathcal{S}}_n,$ finite symmetric semigroup ${\mathcal{T}}_n$ and bicyclic semigroup by the deformed multiplication proposed by Ljapin are classified.

7 pages

Cited by in corpus (7)

• Green's relations on the deformed transformation semigroups
• Isolated subsemigroups in the variants of T_n
• Isolated and nilpotent subsemigroups in the variants of $\IS$
• The automorphism group of the sandwich inverse symmetric semigroup
• Classification of variants of partial Brauer monoids
• Local subsemigroups and variants of some class of semigroups
• Weakly Abundant Semigroups and variants