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Prikladnaya Diskretnaya Matematika, 2014, Number 3(25), Pages 5–11 (Mi pdm463)  
Theoretical Foundations of Applied Discrete Mathematics

On the regularity of some subsemigroups of equivalence relation's endomorphism monoid

E. A. Bondar

Luhansk Taras Schevchenko State Pedagogical University, Lugansk, Ukraine
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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. Böttcher and U. Knauer's is given. The conditions for regularity of such semigroups are found too.
Keywords: regularity, semigroup, endomorphism, equivalence.
Document Type: Article
UDC: 512.53
Language: Russian
Citation: E. A. Bondar, “On the regularity of some subsemigroups of equivalence relation's endomorphism monoid”, Prikl. Diskr. Mat., 2014, no. 3(25), 5–11
Citation in format AMSBIB
\Bibitem{Bon14}
\by E.~A.~Bondar
\paper On the regularity of some subsemigroups of equivalence relation's endomorphism monoid
\jour Prikl. Diskr. Mat.
\yr 2014
\issue 3(25)
\pages 5--11
\mathnet{http://mi.mathnet.ru/pdm463}
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