关于条件(E′P)的研究  

Some studies on condition (E′P)

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

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2022年第2期56-60,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11961058);西北师范大学研究生科研资助项目(2020KYZZ001128);甘肃省教育厅优秀研究生“创新之星”项目(2021CXZX-263)。

摘　　要：设S是序幺半群,在序S-系范畴中引入了条件(E′P),给出了循环序S-系S/ρ和序对角S-系D(S)满足条件(E′P)的等价刻画,讨论了条件(E′P)关于有向上极限封闭的问题。最后,给出了循环序S-系S/ρ有条件(E′P)-覆盖的充分必要条件。Let S be a pomonoid. Condition(E′P) in the category of S-posets is introduced, the equivalent characterizations of cyclic S-posets S/ρ and diagonal S-posets D(S) satisfying condition(E′P) are given, the problem of right S-posets satisfying condition(E′P) which closed under directed colimits is discussed. In addition, the necessary and sufficient condition for cyclic S-posets S/ρ to have condition(E′P)-cover is given.

关 键 词：序幺半群 序S-系 条件(E′P) 覆盖 

分 类 号：O152.7[理学—数学]