Lytvynenko I. The inductive limits of the transformation semigroups on finite sets with linear embeddings and diagonal embeddings of p -order ( p - prime).

Thesis is devoted to the investigation of the inductive limits of the transformation semigroups on the finite sets with linear embeddings or diagonal embeddings of p -order ( p - prime). We introduce three direct spectrums of the semigroups of partially defined transformations the embeddings of which is a linear prolonging or diagonal embedding of p-order ( p- prime), and the inductive limits of the finite inverse symmetric semigroups of partial permutations with the same embeddings.The structure of right, left and two-sided ideals in such semigroups are described. There are investigated relations of conjugacy and transitive conjugacy in the above mentioned limite semigroups linking morfisms of which are the diagonal embeddings of p -order; completely isolated and isolated semigroups of the inverse symmetric diagonal semigroup are found.