| SWBR0-代数的蕴涵理想及其诱导的商代数 |
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| 引用本文： | 汪宁,吴洪博.SWBR0-代数的蕴涵理想及其诱导的商代数[J].吉林大学学报(理学版),2013,51(1):21-26. |
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| 作者姓名： | 汪宁 吴洪博 |
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| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710062 |
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| 基金项目： | 国家自然科学基金(批准号:11171196) |
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| 摘 要： | 根据WBR0-代数的无序特征, 通过将WBR0-代数的正则性弱化, 建立了SWBR0-代数, 提出了SWBR0-代数蕴涵理想的概念, 讨论了蕴涵理想与同余关系之间的联系, 并通过蕴涵理想定义了SWBR0-代数上的商代数, 得到了SWBR0-代数的同态基本定理.
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| 关 键 词： | 模糊逻辑 WBR0-代数 SWBR0-代数 蕴涵理想 商代数 同态 |
| 收稿时间： | 2012-06-08 |
Implication Ideal with Derived Quotient Algebra of SWBR0-Algebra |
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| WANG Ning,WU Hong-bo.Implication Ideal with Derived Quotient Algebra of SWBR0-Algebra[J].Journal of Jilin University: Sci Ed,2013,51(1):21-26. |
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| Authors: | WANG Ning WU Hong-bo |
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| Institution: | College of Mathematics and Information Sciences, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | By means of the non order characteristic of WBR0-algebra, SWBR0-algebras was set up by reduction of regularness of WBR0-algebra. The concept of the implication ideal of SWBR0-algebra was proposed, and therelationship between the implication ideal and the congruence relation was discussed. Moreover, a quotient algebra of SWBR0-algebra was defined with the help of implication ideal, and the fundamental theorems of homomorphisms of SWBR0-algebra were obtained. |
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| Keywords: | fuzzy logic WBR0-algebra SWBR0-algebra implication ideal quotient algebra homomorphism |
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