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Free normal dibands. (English) Zbl 1279.08007
Summary: 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.

MSC:
08B20 Free algebras
20M99 Semigroups
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