RP-framed富足半群

RP-framed abundant semigroups

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 abundant semigroup if and only if it was isomorphic to some Rees matrix semigroup .M（T; I, ; P）, where T denoted an abundant monoid. The entries of the matrix P lied in the group of units of T.