| 关于偏序半群的素理想与弱素理想 |
| |
| 引用本文： | 吴明芬,谢祥云.关于偏序半群的素理想与弱素理想[J].兰州大学学报(自然科学版),1996,32(1):22-25. |
| |
| 作者姓名： | 吴明芬 谢祥云 |
| |
| 作者单位： | 广东江门五邑大学数理系，兰州大学数学系，广东江门市五邑大学数理系 |
| |
| 摘 要： | 引入ｍ－系（ｎ－系）的概念，通过它们刻划了偏序半群的弱素理想（弱半素理想），同时证明了它们及素理想的几个重要性质；这些性质和环论及一般半群的有关结论很相似。作为应用，这些结论在一般半群中都成立。
|
| 关 键 词： | 半群 素理想 滤子 弱素理想 偏序半群 |
On Prime, Weakly Prime Ideals of Ordered Semigroups |
| |
| Wu Mingfen.On Prime, Weakly Prime Ideals of Ordered Semigroups[J].Journal of Lanzhou University(Natural Science),1996,32(1):22-25. |
| |
| Authors: | Wu Mingfen |
| |
| Abstract: | Some characterizations of weakly prime ideals of ordered semigrouups are obtained by m-system and those of weakly semiprime ideals by n-system. Some interesting properties of prime ideals, weakly prime ideals of ordered semigroups are given, and they are analogous to those conclusions about rings and semigroups. As an application of the results of this paper, all results in this paper are true in semigroups. |
| |
| Keywords: | semigroup prime ideal weakly prime ideal filter weakly semiprime ideal-class |
| 本文献已被 CNKI 维普 等数据库收录！ |
