P-正则半群的强P-同余格  

THE LATTICE OF STRONG P-CONGRUENCES OF A P-REGULAR SEMIGROUP

作　　者：郑恒武[1] 

机构地区：[1]曲阜师范大学数学系,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》1995年第4期28-30,共3页Journal of Qufu Normal University(Natural Science)

摘　　要：证明映射 ctr:ρ|→ ctrρ为格∧P (S)到格Σ(P)上的完全格同态 ,且由 ctr诱导的∧P(S)上的同余θ的每一个同余类为∧P(S)的完全模子格 .给出同余θ的若干等价刻划 .In this paper, it is shown that the mapping ρ|ctr ρ is a complete homomorphism of the strong P congruence lattice of S(P) onto the lattice of normal equivalences on P , and that the congruence θ induced by it has all its classes complete modular lattices. Some characterizations of θ are given.

关 键 词：P-正则半群 强P-同余格 完全格 格同态 完全模子格 幂等元 

分 类 号：O152.7[理学—数学]