| 乘法半群为左正规纯正群的半环 |
| |
| 引用本文： | 杨琳,邵勇.乘法半群为左正规纯正群的半环[J].纯粹数学与应用数学,2010,26(1):146-150. |
| |
| 作者姓名： | 杨琳 邵勇 |
| |
| 作者单位： | 西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127 |
| |
| 基金项目： | 国家自然科学基金(10471112);;陕西省教育厅自然科学专项基金(07JK413);;西北大学科学研究基金(09nw-25) |
| |
| 摘 要： | 研究了加法半群为半格，乘法半群为左正规纯正群的半环．证明了此类半环（S，＋，．）可以嵌入到半格（S，＋）的自同态半环中．构造S的一个特定的偏序关系，得到了（S，·）上的自然偏序与所构造偏序相等的等价条件．
|
| 关 键 词： | 半群 半环 左正规纯正群 半格 偏序关系 |
Semirings for which multiplicative reducts are left normal orthogroups |
| |
| YANG Lin,SHAO Yong.Semirings for which multiplicative reducts are left normal orthogroups[J].Pure and Applied Mathematics,2010,26(1):146-150. |
| |
| Authors: | YANG Lin SHAO Yong |
| |
| Affiliation: | Department of Mathematics;Northwest University;Xi'an 710127;China |
| |
| Abstract: | In this paper,the semirings for which additive reducts are semilattices and multiplicative reducts are left normal orthogroups are studied.That semiring(S,+,.) is embedded into the endomorphism semiring of the semilattice(S,+) is proved.The partial order relation on semiring S is constructed and the equivalent condition in order to the natural order on multiplicative reduct of semiring S is equivalent to the constructed partial order on semiring S is obtained. |
| |
| Keywords: | semigroup semiring left normal orthogroup semilattice partial order relation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
