Cayley-type theorems for $g$-dimonoids

Abstract

In this paper we prove Cayley-type theorems for $g$-dimonoids using the left (right) acts of sets and concept of dialgebra.

Keywords

• $g$-dimonoid
• dimonoid
• act of set
• dialgebra
• morphism of acts
• $(l, r)$-morphism of semigroup