关于拟交换弱准素序半群  

ON QUASICOMMUTATIVE WEAKLY PRIMARY ORDERED SEMIGROUPS

作　　者：李秀明[1] 曹勇[1] 李高波[2] 

机构地区：[1]山东师范大学数学科学学院,济南250014 [2]中华女子学院(山东分院)经济学系,济南250002

出　　处：《山东师范大学学报（自然科学版）》2006年第1期20-22,共3页Journal of Shandong Normal University(Natural Science)

摘　　要：定义了拟交换序半群和弱准素序半群,给出了拟交换序半群中弱准素序半群以及其所有理想是素理想的拟交换序半群的刻划.所得主要结果是K.Franti ek所给结果在序半群中的推广.The quasicommutative ordered semigroups and weakly primary ordered semigroups are defined. Characterizations to the weakly primary ordered semigroups which are in the class of the quasicommutative ordered semigroups and the quasicommutative ordered semigroups in which all ideals are prime are given. The main results are the generalizations of the results studied by K. Frantisek in the ordered semigroups.

关 键 词：拟交换序半群 弱准素序半群 准素理想 弱准素理想 

分 类 号：O152.7[理学—数学]