利用被推广的半群上的ρ-G reen关系,研究LρC-正则半群,得到LρC-正则半群的等价刻画,证明了半群为LρC正-则半群当且仅当它为L-左可消幺半群的强半格。
By utilizing the generalized ρ-Green relations on semigroups,LρC-regular semigroups are researched.Some equivalent conditions for LρC-regular semigroups are proved.A semigroup is an LρC-regular semigroup if and only if it is a strong semilattice of L-cancellative monoids.