Free \(n\)-nilpotent dimonoids

Anatolii V. Zhuchok

Abstract


We construct a free \(n\)-nilpotent dimonoid and describe its structure. We also characterize the least \(n\)-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give  examples of nilpotent dimonoids of nilpotency index \(2\).


Keywords


\(n\)-nilpotent dimonoid, free \(n\)-nilpotent dimonoid, \(0\)-diband of subdimonoids, dimonoid, semigroup

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