Tsyaputa G. Transformation semigroups with the de-formed multiplication

The thesis is devoted to investigation of semigroups obtained from ISn, Tn, PTn, and bicyclic semigroup by the deformed multiplication. For the variants of ISn we have found the isomorphism criterion, described all Green's relations, maximal subgroups, isolated, completely isolated and nilpotent subsemigroups, the structure of their automorphism groups. The isomorphism criterion for the variants of Tn is established. We have described their idempotents, all Green's relations, classified isolated subsemigroups. For the variants of PTn and of the bicyclic semigroup we have established isomorphism criteria and investigated some of their properties.