The Construction for PI-Strongly L~ρ-abundant semigroups
Li Gang · 2009
Let S be a semigroup. If each Lρ-class of S contains an idempotent, then S is called a Lρ-abundant semigroups. In particular, if for any a ∈ S, the set Lρa ∩ Ia contains a unique element aρ, then S is called a strongly L ρ-abundant semigroup. Via a permutation σ on the S, we get the structure theorem for PI-strongly Lρ-abundant semigroups.