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(PWPE),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(PWPE)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.
展开▼
