用条件PWPE刻画的序幺半群

基金项目:

国家自然科学基金项目;陕西省自然科学基础研究计划项目

详细信息

Characterization of pomonoids by Condition (PWP{E})

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．
- 序幺半群
Abstract: By using S-act theory and ordered semigroup theory, Condition (PWP_{E}) 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 (PWP{E}) have some other flatness properties and vice versa. As applications, some important results on Condition (PWP{E}) are extended.
- pomonoid