用条件(PWP_E)刻画的序幺半群  

Characterization of Pomonoids by Condition(PWP_E)

作　　者：王田 梁星亮[2,3] 

机构地区：[1]甘肃中医药大学(定西校区)理科部,定西743000 [2]兰州大学数学与统计学院,兰州730000 [3]陕西科技大学文理学院,西安710021

出　　处：《华南师范大学学报（自然科学版）》2017年第5期111-114,共4页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11501451);陕西省自然科学基础研究计划项目(2017JQ1026)

摘　　要：借助S-系理论及序半群理论的方法,在序S-系范畴中引入了条件(PWP_E),刻画了循环(Rees商)序S-系满足这一条件的序幺半群的结构特征.进一步地,给出了Rees商序S-系的条件(PWP_E)与其他平坦性质一致的序幺半群的刻画,并推广了条件(PWP)的相关结果.By using S-act theory and ordered semigroup theory,condition(PWPE) in the category of S-posets is introduced,and pomonoids over which cyclic(Rees factor) S-posets satisfy this new condition are characterized. Moreover,a classification of pomonoids is given for which Rees factor S-posets satisfying condition(PWPE) have some other flatness properties and vice versa. As applications,some important results on condition(PWPE) are extended.

关 键 词：条件(PWPE) 序S-系 序幺半群 

分 类 号：O152.7[理学—数学]