摘要
利用弱逆和核迹方法,刻画了毕竟纯整半群上的矩形群同余.给定毕竟纯整半群S的矩形群同余对(ξ,K),定义S上的二元关系ρ(ξ,K),证明了如果(ξ,K)是毕竟纯整半群S的矩形群同余对,则(ρξ,K)是S上惟一满足tr(ρξ,K)=ξ,ker(ρξ,K)=K的矩形群同余;反过来,如果ρ是S上的矩形群同余,则(trρ,kerρ)是S的矩形群同余对,并且ρ=(ρtrρ,kerρ).
The rectangular group congruences on eventually orthodox semigroup were characterized by means of weak inverse and kernel-trace approach. A rectangular group congruences pair was given, and define a binary relation ρ（ξ,K） on S was defined. It was proved that, if （ξ,K） was an rectangular group congruences pair for S, ρ（ξ,K） would be a unique rectangular group congruences on S such that tr ρ（ξ,K）=ξ and ker ρ（ξ,K） =K. Conversely, if ρ was a rectangular group congruences on S, （tr ρ, ker ρ） would be a rectangular group congruences pair for S and ρ=ρ（tr ρ,ker ρ）.
出处
《兰州理工大学学报》
CAS
北大核心
2006年第2期154-157,共4页
Journal of Lanzhou University of Technology
关键词
毕竟纯整半群
弱逆
矩形群同余
矩形群同余对
eventually orthodox semigroup
weak inverse
rectangular group congruences
rectangular group congruences pair
