摘要
研究一类wrpp半群,即完备wrpp半群,并给出完备wrpp半群的若干性质定理.特别地,得到完备wrpp半群的织积结构.作为织积的应用,我们证明完备wrpp半群是R-左消板的强半格.因此,唐向东关于C-wrpp半群的结果得到进一步发展.
We study a class of wrpp semigroups, namely the perfect wrpp semigroups, and some characterization theorems for such semigroups are give. In particular, the spined product structure of perfect wrpp semigroups are obtained. As application of the spined product, we show that a perfect wrpp semigroup is a strong semilattice of R-left cancellative planks. Thus, the work of Tang Xiangdong on C-wrpp is further developed.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2007年第2期214-220,共7页
Pure and Applied Mathematics
关键词
R-左消板
完备wrpp半群
正规带
织积
R-left cancellative planks, perfect wrpp semigroups, normal band, spined
