Saturated (n , m)-Regular Semigroups.

The aim of this paper is to determine several saturated classes of structurally regular semigroups. First, we show that structurally (n , m) -regular semigroups are saturated in a subclass of semigroups for any pair (n , m) of positive integers. We also demonstrate that, for all positive integers n and k with 1 ≤ k ≤ n , the variety of structurally (0 , n) -left seminormal bands is saturated in the variety of structurally (0 , k) -bands. As a result, in the category of structurally (0 , k) -bands, epis from structurally (0 , n) -left seminormal bands is onto. [ABSTRACT FROM AUTHOR]