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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 1, Pages 14–18
DOI: https://doi.org/10.18500/1816-9791-2010-10-1-14-18 (Mi isu3) 		 
Mathematics

About the congruences of two-generated monoid

L. A. Kudryavtseva

Moscow Institute of Electronic Technology, Chair of Higher Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2010-10-1-14-18
Abstract: The congruences of two-generated monoid which generated by pair of words of length 2 are considered over two-letter alphabet. It is shown that number of equivalence classes for words of length $n$ is equal to $n+1$. The number of words in each class is found.
Key words: congruence, free semigroup, monoid, equivalence class.
Document Type: Article
UDC: 512.532.2
Language: Russian
Citation: L. A. Kudryavtseva, “About the congruences of two-generated monoid”, Izv. Saratov Univ. Math. Mech. Inform., 10:1 (2010), 14–18
Citation in format AMSBIB
\Bibitem{Kud10}
\by L.~A.~Kudryavtseva
\paper About the congruences of two-generated monoid
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 1
\pages 14--18
\mathnet{http://mi.mathnet.ru/isu3}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-1-14-18}
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