We characterize the least semilattice congruence of a free dimonoid and prove that a free dimonoid is a semilattice of s-simple subdimonoids each of which is a rectangular band of subdimonoids.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 2, pp. 165–175, February, 2011.
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Zhuchok, A.V. Free dimonoids. Ukr Math J 63, 196–208 (2011). https://doi.org/10.1007/s11253-011-0498-8
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DOI: https://doi.org/10.1007/s11253-011-0498-8