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.
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