| BR_0代数中的~*理想及其诱导的商代数 |
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| 引用本文： | 牛超慧,吴洪博.BR_0代数中的~*理想及其诱导的商代数[J].江西师范大学学报(自然科学版),2013,0(3):221-224. |
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| 作者姓名： | 牛超慧 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,陕西西安,710062 |
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| 基金项目： | 国家自然科学基金(11171196)资助项目 |
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| 摘 要： | 通过在BR0代数中引入了新的运算*,首先定义了BR0代数中的*理想、素*理想、生成*理想、极大*理想,并研究了对应理想的一些性质；其次,通过(素)*理想构造出1个同余关系,并证明了1个BR0代数在该同余关系下的商代数还是(全序)BR0代数.
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| 关 键 词： | 逻辑代数 BR0代数 *理想 素*理想 极大*理想 商代数 |
The * Ideals and Induced Quotient Algebras in BR0Algebras |
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| NIU Chao-hui,WU Hong-bo.The * Ideals and Induced Quotient Algebras in BR0Algebras[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2013,0(3):221-224. |
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| Authors: | NIU Chao-hui WU Hong-bo |
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| Institution: | *(College of Mathematics and Informatics,Shanxi Normal University,Xi’an Shanxi 710062,China) |
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| Abstract: | The *ideal,prime *ideal,generate *ideal and maximal *ideal are all defined by introducing *operation in BR0 algebras.Then the properties related to those ideals are studied respectively.What's more,a congruence relation based on the notion of(prime)*ideals in BR0 algebras is structured.It is proved that the quotient algebra of a BR0 algebra under this congruence relation is still a(totally)BR0 algebra. |
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| Keywords: | logic algebra BR0algebra * ideal prime * ideal maximal * ideal quotient algebra |
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