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| 格星环与格星半环 | |
| 引用本文： | 甘爱萍,黄福生,姜样兰,黄文平. 格星环与格星半环[J]. 江西师范大学学报(自然科学版), 2008, 32(5) |
| 作者姓名： | 甘爱萍 黄福生 姜样兰 黄文平 |
| 作者单位： | 1. 江西师范大学,数学与信息科学学院,江西,南昌,330022 2. 江西公安专科学校,江西,南昌,330103 3. 江西南昌陆军学院,江西,南昌,330103 |
| 基金项目： | 江西省自然科学基金 ， 江西省教育厅科技项目 |
| 摘 要： | 该文借鉴格环和格半环的定义,在半环,星半环的基础上,增加了一个偏序关系"≤",引入了星环、格昌环、格星半环和正星半环等定义,进一步介绍了它们的一些性质,并得到了与格环和格半环类似的几个重要命题. |
| 关 键 词： | 星环 格星环 格星半环 正星半环 |
Lattice Star Rings and Lattice Star Hemirings |
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| GAN Ai-ping,HUANG Fu-sheng,JIANG Yang-lan,HUANG Wen-ping. Lattice Star Rings and Lattice Star Hemirings[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2008, 32(5) | |
| Authors: | GAN Ai-ping HUANG Fu-sheng JIANG Yang-lan HUANG Wen-ping |
| Affiliation: | 1.School of Mathematical and Information Sciences;Jiangxi Normal University;Jiangxi 330022;China;2.Jiangxi People's Police College;Jiangxi 330103;3.Nanchang Military Academy;China |
| Abstract: | In this paper,we add a partially order relation to the notions of hemiring and star seming on the analogy of lattice-ordered rings and lattice-ordered hemirings.So on the basis of this,we introduce the notions and some properties of the star rings,lattice-ordered star rings,lattice-ordered star himirings and positive star hemiring etc.Applying these to star system,we get analogous results with lattice-ordered rings and lattice-ordered hemirings. |
| Keywords: | star rings lattice star hemirings positive star hemiring |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |