On one class of algebras

Yuliia V. Zhuchok

Abstract


In this paper a \(g\)-dimonoid which is isomorphic to the free \(g\)-dimonoid is given and a free \(n\)-nilpotent \(g\)-dimonoid is constructed. We also present the least \(n\)-nilpotent congruence on a free \(g\)-dimonoid and give numerous examples of \(g\)-dimonoids.


Keywords


dimonoid, \(g\)-dimonoid, free \(g\)-dimonoid, free \(n\)-nilpotent \(g\)-dimonoid, semigroup, congruence

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