(N, M) - Greens On Semigroups And Munn - Theorem

We extend Green*-relations from usual semigroups to (n, m)-semigroups so thatthe corresponding notions such as abundant (n, m)-semigroupsadequate(n, m)-semigroups type A(n, m)-semigroups,regular(n, m)-semigroups aredefined and their fundamental properties are discussed. Especially, we generalize atheorem about Munn semigroups of usual semigroups to(n, m)-semigroups.