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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2, Pages 93–100 (Mi uzku1121)  

Decompositions of free dimonoids

A. V. Zhuchok

National Taras Shevchenko University of Kyiv

Abstract: We present the least normal diband congruence, the least $(\ell n,n)$-congruence, the least $(n,rn)$-congruence, the least $(\ell n,rn)$-congruence, and the least (left, right) normal band congruence on free dimonoids, and use them to obtain decompositions of free dimonoids.

Keywords: free dimonoid, congruence, diband of subdimonoids, dimonoid, band.

Full text: PDF file (185 kB)
References: PDF file   HTML file
UDC: 512.579+512.53
Received: 13.12.2011

Citation: A. V. Zhuchok, “Decompositions of free dimonoids”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 2, Kazan University, Kazan, 2012, 93–100

Citation in format AMSBIB
\Bibitem{Zhu12}
\by A.~V.~Zhuchok
\paper Decompositions of free dimonoids
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 2
\pages 93--100
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1121}


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