λ-semidirect products of regular orthodox semigroups
Wu Jing · Yunnan Daxue xuebao. Shehui kexue ban · 2003
Let ρ be an idempotentseparating congruence on a left regular orthodox semigroup S.It's showed that S can be imbedded in a λsemidirect product of a left regular orthogroup by S/ρ.Furthermore,λdually semidirect products of regular orthodox semigroups are defined and the embedding theorem for such semigroups is obtained.