加法P-正则半环上的P-核正规系  

P-KERNEL NORMAL SYSTEM OF AN ADDITIVE P-REGULAR SEMIRING

作　　者：陈晔[1] 李勇华[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2011年第4期45-48,共4页Journal of South China Normal University(Natural Science Edition)

摘　　要：考虑加法P-正则半环,在该类半环上引入了P-核正规系,证明了该类半环上的每个同余都可以获得一个P-核正规系,并且P-核正规系唯一地确定了一个同余.最后对C+-集是半理想的加法-正则半环刻画了P-核正规系.P-regular semigroup is an important class of semigroups.The additive P-regular semiring and the P-kernel normal system of the additive P-regular semiring are considered and discussed.A conclusion is proved that every congruence on this kind of semirings can induce a P-kernel normal system,and every P-kernel normal system uniquely determines a congruence.A P-kernel normal system of an additive P-regular semiring whose C＋-set is a semi-ideal is illustrated finally.

关 键 词：加法P-正则半环 P-核正规系 半理想 

分 类 号：O152.7[理学—数学]