\(n\)-ary \(\Gamma\)-semigroups, operators and Green's relations.
The notion of \(n\)-ary \(\Gamma\)-semigroup (\(n\)-ary \(\Gamma\)-group) as a natural generalization of \(n\)-ary semigroup (\(n\)-ary group) and \(\Gamma\)-semigroup (\(\Gamma\)-group) is introduced and studied. Many examples and some basic properties are obtained. Further, the concepts of Green's equivalence relations on an \(n\)-ary \(\Gamma\)-semigroup and the operators of an \(n\)-ary \(\Gamma\)-semigroup are defined and investigated.
scientific article; zbMATH DE number 6369950
scientific article