Rectangular group congruences on eventually orthodox semigroup
Yongfang Shi · Journal of Lanzhou University of Technology · 2006
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)).