Construction of free \(\mathfrak{g}\)-dimonoids

Yuri Movsisyan, Sergey Davidov, Mher Safaryan

Abstract


In this paper, the concept of a \(\mathfrak{g}\)-dimonoid is introduced and the construction of a free \(\mathfrak{g}\)-dimonoid is described. (A \(\mathfrak{g}\)-dimonoid is a duplex satisfying two additional identities.)


Keywords


dimonoid, \(\mathfrak{g}\)-dimonoid, free algebra, canonical form

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