| 加法半群为半格的乘法带半环 |
| |
| 引用本文： | 朱天民.加法半群为半格的乘法带半环[J].河南科技大学学报(自然科学版),2007,28(3):86-87. |
| |
| 作者姓名： | 朱天民 |
| |
| 作者单位： | 渭南师范学院,数学与应用数学研究所,陕西,渭南,714100 |
| |
| 基金项目： | 陕西省自然科学基金，陕西省教育厅资助项目 |
| |
| 摘 要： | 研究了加法半群为半格的乘法带半环,利用Green-D关系,得到了加法群为半格的乘法带半环的若干性质,证明了如果半环S的加法半群是半格,则S是乘法带半环当且仅当S是分配格,从而获得关于分配格的一个结构定理.
|
| 关 键 词： | 乘法带半环 加法半格 结构定理 |
| 文章编号： | 1672-6871（2007）03-0086-02 |
| 修稿时间： | 2006-11-19 |
Multiplicative Band Semirings with Semilattice Additive Reducts |
| |
| ZHU Tian-Min.Multiplicative Band Semirings with Semilattice Additive Reducts[J].Journal of Henan University of Science & Technology:Natural Science,2007,28(3):86-87. |
| |
| Authors: | ZHU Tian-Min |
| |
| Abstract: | Multiplicative band semirings whose additive reducts are semilattice are studied.By Green-D relation,this paper obtaines some properties of multiplicative band semirings whose additive reducts are semilattice.It also proves if,then is multiplicative band semirings if and only if semiring is distributive lattice.So the theorem about structure of distributive lattice is obtained. |
| |
| Keywords: | Multiplicative band semirings Additive semilattice Structure theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
