| 有单位元的环的主同余 |
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| 引用本文： | 曹发生,王驹,蒋运承.有单位元的环的主同余[J].江西师范大学学报(自然科学版),2010,34(2). |
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| 作者姓名： | 曹发生 王驹 蒋运承 |
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| 作者单位： | 1. 毕节学院数学系逻辑与应用逻辑研究所,贵州,毕节,551700
2. 广西师范大学计算机科学与信息工程学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金，贵州省教育厅自然科学基金 |
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| 摘 要： | 通过构造有单位元的环的主同余公式,给出了有单位元的环的主同余刻画;归纳于有单位元的环的一元项的形成和主同余公式的长度,从而给出有单位元的交换环和单位元的环的主同余的判定条件.
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| 关 键 词： | 主同余 主同余公式 环 |
Principal Congruence on Ring with Identity |
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| CAO Fa-sheng,WANG Ju,JIANG Yun-cheng.Principal Congruence on Ring with Identity[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2010,34(2). |
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| Authors: | CAO Fa-sheng WANG Ju JIANG Yun-cheng |
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| Institution: | CAO Fa-sheng1,WANG Ju2,JIANG Yun-cheng2(1.Institute of Logic and Applied Logic,Department of Mathematics,Bijie College,Bijie Guizhou 551700,China,2.College of Computer Science and Information Engineering,Guangxi Normal University,Guilin Guangxi 541004,China) |
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| Abstract: | An equivalent characterization for principal congruence on ring with identity is obtained by constructing principal congruence formula on it.Then decision conditions for principal congruence on commutative ring with identity and ring with identity are given by inducing term and the length of the principal congruence formula of them. |
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| Keywords: | principal congruence principal congruence formula ring |
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