Semiprimary n-semigroups

The study of commutative primary semigroups was initiated by M. Satyanarayana [?], continued by H. Lal [?] on semiprimary semigroup and generalized in the noncommutative case by S. Bogdanovic [ ´ ?], [?]. The purpose of this paper is to give a generalization of the semiprimary semigroups by replacing the binary operation by an n−ary operation, n ∈ N, n > 2. Most of the results of this paper are obtained by using the concept of radical of an ideal in an n−semigroup