Birkhoff's HSP theorem for varieties of (n,m)-semigroups

摘要

The work concerns varieties of (n, m)-semigroups in particular vector varieties of (n, m)-semigroups. We give a direct proof of Birkhoff’s HSP theorem for varieties of (n, m)-semigroups and we find a corresponding HSP Theorem for vector varieties of (n, m)-semigroups (when m ≥ 2).