Turka T. The structure of semigroups of correspondences

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U001421

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

25-02-2013

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

There has been proved the theorem on the order of semigroups of correspondences of the finite group, there have been described the structure of the center of semigroup of correspondences, two natural partial orders on the semigroup of correspondences. There has been described Green's relations with semigroups of correspondences of the finite group, there have been described the main ideals of semigroup of correspondences of the eventual group. There has been proved the theorem on the structure of idempotents of semigroups of correspondences of the finite group. There has been described the structure of maximal sub-group for every idempotent which corresponds to this idempotent.

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