2014Prikladnaya diskretnaya matematika PrilozhenieRequires access

О регулярности некоторых подполугрупп моноида эндоморфизмов отношения эквивалентности

Евгения Алексеевна Бондарь

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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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What this paper is about

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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Available 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.

Key concepts: Mathematics, Semigroup, Equivalence relation, Graph, Pure mathematics, Combinatorics, Discrete mathematics

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О регулярности некоторых подполугрупп моноида эндоморфизмов отношения эквивалентности — Research Paper | ScholarLens