主要定义了RP-framed富足半群。给出了富足半群S是RP-framed等价于S同构于Rees雷斯矩阵半群M(T;I,Λ;P),其中T是富足幺半群,矩阵P的元都是T的单位群。

RP-framed abundant semigroup was defined.We proved that a semigroup was a RP-framed abun-dant semigroup if and only if it was isomorphic to some Rees matrix semigroupM(T;I,Λ;P),where T de-noted an abundant monoid.The entries of the matrix P lied in the group of units of T.