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| 幂格的理想与素理想 | |
| 引用本文： | 黎爱平,陈水利. 幂格的理想与素理想[J]. 模糊系统与数学, 2010, 24(1) |
| 作者姓名： | 黎爱平 陈水利 |
| 作者单位： | 1. 上饶师范学院,数学与计算机系,江西上饶,334001 2. 集美大学,理学院,福建,厦门,361021 |
| 摘 要： | 研究了幂格的理想和素理想,建立了格的理想与格上幂格的理想的一种联系,获得了格的理想(素理想)与它的商格的理想(素理想)之间的关系。 |
| 关 键 词： | 幂格 理想 素理想 格 |
Prime Ideal and Ideal of Power Lattice |
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| LI Ai-ping,CHEN Shui-li. Prime Ideal and Ideal of Power Lattice[J]. Fuzzy Systems and Mathematics, 2010, 24(1) | |
| Authors: | LI Ai-ping CHEN Shui-li |
| Affiliation: | 1.Department of Mathematics and Computer/a>;Shangrao Normal University/a>;Shangrao 334001/a>;China/a>;2.School of Sciences/a>;Jimei University/a>;Xiamen 361021/a>;China |
| Abstract: | In this paper,we study prime ideal and ideal of the power lattice on a lattice,and establish the relation between ideal of lattice and ideal of the power lattice on the lattice.The relations between(prime ideal) ideal of lattic and(prime ideal) ideal of its quotient lattice is obtained. |
| Keywords: | Power Lattice Ideal Prime Ideal Lattice |
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