半群的Cwrpp根和半Cwrpp半群

摘要

The concepts of Cwrpp radical congruences (or sets) and semi-Cwrpp semigroups were introduced. The properties of Cwrpp radical congruence (or set) were studied. It was shown that for left Cwrpp (or right Crpp) and perfect rpp semigroups, their Cwrpp radicals are strong. The characteristics of their Cwrpp radicals were presented and it was proven that a semigroup S is semi-Cwrpp if and only if S is isomorphic to a sub 0-direct product for some Cwrpp semigroups.%引进Cwrpp根同余(集)、半Cwrpp半群的概念.研究了Cwrpp根同余(集)的性质.指出左Cwrpp(右Crpp)和完备rpp半群的Cwrpp根是强的,并给出它们的Cwrpp根的性质.证明了一个半群S是半Cwrpp的充分必要条件是S同构于一些Cwrpp半群的O-子直积.