Zhuchok Y. Semigroups of endomorphisms of algebraic systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0517U000104

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

20-02-2017

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

The endomorphism semigroups of equivalences and 2-nilpotent relations, the strong endomorphism monoids of a given class of n-uniform hypergraphs, the endomorphism semigroups (the strong endomorphism monoids, the automorphism groups) of disconnected hypergraphs, the endomorphism monoids of semilattices of semigroups and of free products of semigroups from a w-class are described. For such free algebras as dimonoids, abelian dimonoids, commutative dimonoids, commutative g-dimonoids and trioids the properties of endomorphism monoids are investigated.

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