| 布尔代数的软商布尔代数 |
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| 引用本文： | 刘卫锋.布尔代数的软商布尔代数[J].山东大学学报(理学版),2015,50(8):57-61. |
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| 作者姓名： | 刘卫锋 |
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| 作者单位： | 郑州航空工业管理学院数理系, 河南 郑州 450015 |
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| 基金项目： | 航空科学基金项目(2013ZD55006); 郑州航空工业管理学院青年科研基金(2014113001) |
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| 摘 要： | 定义了布尔代数的软合同关系、软商代数和软商布尔代数等概念,证明了布尔代数的软合同关系与软理想相互确定,进而由布尔代数的软真理想得到布尔代数的软商布尔代数.最后,证明了布尔代数的软同态具有保软合同性.
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| 关 键 词： | 布尔代数 软布尔代数 软理想 软商布尔代数 |
| 收稿时间： | 2014-09-06 |
Soft quotient Boolean algebra of Boolean algebra |
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| LIU Wei-feng.Soft quotient Boolean algebra of Boolean algebra[J].Journal of Shandong University,2015,50(8):57-61. |
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| Authors: | LIU Wei-feng |
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| Institution: | Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, Henan, China |
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| Abstract: | The concepts of soft congruence relation, soft quotient algebra and soft quotient Boolean algebra of Boolean algebra are defined, and it is proved that soft congruence relation and soft ideal of Boolean algebra can be determined by each other. Then soft quotient Boolean algebra of Boolean algebra is obtained from soft proper ideal of Boolean algebra. Finally, the nature of preserving soft congruence relation of soft homomorphism of Boolean algebras is proved. |
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| Keywords: | Boolean algebra soft Boolean algebra soft ideal soft quotient Boolean algebra |
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