数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2008年
2期
171-177
,共7页
weakly P-inversive semigroup%strong P-congruence%P-kernel normal system%lattice isomorphism
In this paper,we first give the concept of weakly P-inversive semigroup S(P).Then we describe the strong P-congruences on S(P)in terms of their P-kernel normal systems.It is proved that there is a bijection between the strong P-congruences and the P-kernel normal systems.Finally,it is also prove that the lattice of strong P-congruences and the lattice of P-kernel normal systems on S(P)are isomorphic.