Xiangzhi Kong
Abstract
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.
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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.
Key concepts: Semilattice, Mathematics, Semigroup, Cancellative semigroup, Bicyclic semigroup, Regular semigroup, Pure mathematics, Special classes of semigroups