弱左C-rpp半群的一个定理

J．B．Fountain 1977年定义了C-rpp半群，利用半群S上的右Green同余关系L^＊，他给出了C-rpp半群的一个定理。此文研究弱左C-rpp半群，用已得到的左C-完全Ehresmann cyber群的结构定理给出此类半群的一个结构定理。弱左C半群的结构定理是此定理的特例。

A Theorem of Weakly Left C-rpp Semigroups

The concept of C-rpp semigroup was first introuced by J.B.Fountain in 1977.By using a right Green congruence relation* which is a generalization of the usual Green relation on a semigrop S, he gaves a theorem for C-rpp semigroups. The C-rpp semigroups to weakly left C-rpp semigroups is generalized and given a construction theorem for such semigroups by using the structure theorem of the left C-full Ehresmann cyber groups recently obtained by the authors. The structure theorem of weakly left C-semigroups is also included as its special case.