| 用条件PWPE刻画的序幺半群 |
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| 引用本文： | 王田,梁星亮.用条件PWPE刻画的序幺半群[J].华南师范大学学报(自然科学版),2017,49(5):104-107. |
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| 作者姓名： | 王田 梁星亮 |
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| 作者单位： | 1.1.甘肃中医药大学（定西校区）理科部 |
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| 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 |
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| 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．
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| 关 键 词： | 序幺半群 |
| 收稿时间： | 2016-05-14 |
Characterization of pomonoids by Condition (PWP{E}) |
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| 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. |
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