Free normal dibands

Anatolii V. Zhuchok

Abstract


We construct a free normal diband, a free \((\ell n, n)\)-diband, a free \((n, rn)\)-diband and a free \((\ell n, rn)\)-diband. We also describe the structure of free normal dibands and characterize some least congruences on these dibands.


Keywords


normal diband, free normal diband, diband of subdimonoids, dimonoid, semigroup

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