| 格环上的Fuzzy同余关系 |
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| 引用本文： | 乔丙武,谷文祥,张庆德.格环上的Fuzzy同余关系[J].东北师大学报(自然科学版),2001,33(2):22-26. |
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| 作者姓名： | 乔丙武 谷文祥 张庆德 |
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| 作者单位： | 1. 聊城师范学院计算机科学系,
2. 东北师范大学计算机科学系, |
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| 基金项目： | 国家自然科学基金资助项目 ( 69973 0 1 2 ) |
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| 摘 要： | 给出了格环上Fuzzy同余关系的定义，研究了它的若干性质，证明了格环上的全体Fuzzy同余关系关于Fuzzy集合的包含关系构成一个模格，并利用Fuzzy同余类给出了Fuzzy同余商格环的定义及其同态、同构的若干性质。
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| 关 键 词： | 格环 Fuzzy同余关系 模 同余类 Fuzzy商格环 同态 同构 |
| 文章编号： | 1000-1832(2001)02-0022-05 |
| 修稿时间： | 2000年11月26日 |
Fuzzy congruence relations on lattice-ordered ring |
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| QIAO Bing wu ,GU Wen xiang ,ZHANG Qing de.Fuzzy congruence relations on lattice-ordered ring[J].Journal of Northeast Normal University (Natural Science Edition),2001,33(2):22-26. |
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| Authors: | QIAO Bing wu GU Wen xiang ZHANG Qing de |
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| Institution: | QIAO Bing wu 1,GU Wen xiang 2,ZHANG Qing de 1 |
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| Abstract: | In this paper, the definition of fuzzy congruence relations on lattice-ordered ring is given, some properties of it are studied, the set of all fuzzy congruence relations on a lattice-ordered ring is proved to be a modular lattice about the inclusion relation of fuzzy sets. Using fuzzy congruence class, the definition of fuzzy congruence quotient lattice-ordered ring is given, and some properties about homomorphism and isomorphism are proved. |
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| Keywords: | lattice-ordered ring fuzzy congruence relation modular lattice congruence clas fuzzy quotient lattice-ordered ring |
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