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| 矩形Clifford半环的性质与结构 | |
| 引用本文： | 张娟娟,李映辉,赵宪钟.矩形Clifford半环的性质与结构[J].云南大学学报(自然科学版),2008,30(4):338-343. |
| 作者姓名： | 张娟娟 李映辉 赵宪钟 |
| 作者单位： | 1. 西北大学,数学系,陕西,西安,710127;西安工程大学,理学院,陕西,西安,710048 2. 昆明学院,初教二系,云南,昆明,650202 3. 西北大学,数学系,陕西,西安,710127 |
| 基金项目： | 国家自然科学基金 , 陕西省自然科学基金 |
| 摘 要： | 利用带半环的概念,将左环与左Clifford半环进行推广引入了矩形环与矩形Clifford半环的概念.给出了矩形环和矩形Clifford半环的刻画,得到了在一定条件下矩形Clifford半环的织积分解,并得到了矩形Clif-ford半环是矩形环的强分配格的充分必要条件. |
| 关 键 词： | 带半环 矩形环 分配格同余 矩形Clifford半环 |
The property and structure of rectangular Clifford semiring |
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| ZHANG Juan-juan,LI Ying-hui,ZHAO Xian-zhong.The property and structure of rectangular Clifford semiring[J].Journal of Yunnan University(Natural Sciences),2008,30(4):338-343. | |
| Authors: | ZHANG Juan-juan LI Ying-hui ZHAO Xian-zhong |
| Institution: | 1. Department of Mathematics, Northwest University, Xi’an 710127, China;2. College of Science, Xi’an Polytechnic University, Xi’an 710048, China;3. Department of Junior Education(Ⅱ), Kunming College, Kunming 650202, China |
| Abstract: | By using the concept of band semiring,the concepts of rectangular Clifford ring and rectangular semiring are introduced extending left Clifflrd ring and left semiring.Characterizations of rectangular Clifford ring and rectangularsemiring are given and under certain conditions the spined product decomposition of rectangular Clifford semiring is obtained.Further,the necessary and sufficient condition that rectangular semiring is a strong distributive lattice of rectangular ring is got. |
| Keywords: | band semiring rectangular ring distributive lattice congruence rectangular Clifford semiring |
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