条件(P_(w))的推广  

On a generalization of condition(P_(w))

作　　者：乔兴斌 乔虎生 QIAO Xing-bin;QIAO Hu-sheng(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2021年第6期811-814,822,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(11961058)。

摘　　要：将条件(P_(w))中存在的自然数1推广到任意自然数n,定义了条件GP-(P_(w)).给出了序右S-系A(I)、循环序S-系S/ρ以及对角序右S-系D(S)满足条件GP-(P_(w))的充要条件,推广了条件(P_(w))的相关结果.The natural number 1 in the condition (P_(w)) was generalized to any natural number and condition GP-(P_(w)) was defined.The sufficient and necessary conditions were given,for which right S-posets A(I),cyclic S-posets S/ρand diagonal right S-poset D(S) satisfy condition GP-(P_(w)).Some relevant results on condition (P_(w)) were extended.

关 键 词：序S-系 条件GP-(P_(w)) 序幺半群 

分 类 号：O152.7[理学—数学]