Abstract
We construct a free -nilpotent dimonoid and describe its structure. We also characterize the least -nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index .
Keywords
-nilpotent dimonoid, free -nilpotent dimonoid, -diband of subdimonoids, dimonoid, semigroup
