Geodesic
Decompositions of free dimonoids
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 93-100

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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. 
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     title = {Decompositions of free dimonoids},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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A. V. Zhuchok. Decompositions of free dimonoids. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 93-100. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a8/