О регулярности некоторых подполугрупп моноида эндоморфизмов отношения эквивалентности
Евгения Алексеевна Бондарь
Abstract
Евгения Алексеевна Бондарь
Abstract
For the set of halfstrong (locally strong, quasi-strong) endomorphisms of an equivalence relation graph, the conditions to form a semigroup are found. Thus the answer to the question put by M. Bottcher and U. Knauer''s is given. The conditions for regularity of such semigroups are found too.
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For the set of halfstrong (locally strong, quasi-strong) endomorphisms of an equivalence relation graph, the conditions to form a semigroup are found. Thus the answer to the question put by M. Bottcher and U. Knauer''s is given. The conditions for regularity of such semigroups are found too.
Key concepts: Mathematics, Semigroup, Equivalence relation, Graph, Pure mathematics, Combinatorics, Discrete mathematics