| BCK/BCI-代数的广义交软理想 |
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| 引用本文： | 杨永伟,辛小龙,孟彪龙.BCK/BCI-代数的广义交软理想[J].计算机工程与应用,2013,49(18):29-32. |
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| 作者姓名： | 杨永伟 辛小龙 孟彪龙 |
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| 作者单位： | 1.西北大学 数学系，西安 710127
2.西安科技大学 理学院，西安 710054 |
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| 摘 要： | 为了进一步研究交软BCK/BCI-理想的性质，通过在交软BCK/BCI-理想的概念中引入一个参数α]，从而给出了α]-交软BCK/BCI-理想的定义，并在一定程度上推广了交软BCK/BCI-理想的概念。给出了α]-交软BCK/BCI-理想的刻画方法和性质。讨论了α]-交软BCK/BCI-理想在同态下像和逆像性质。
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| 关 键 词： | BCK/BCI-代数 软集 交软BCK/BCI-理想 |
Generalized intersectional soft ideals of BCK/BCI-algebras |
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| YANG Yongwei,XIN Xiaolong,MENG Biaolong.Generalized intersectional soft ideals of BCK/BCI-algebras[J].Computer Engineering and Applications,2013,49(18):29-32. |
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| Authors: | YANG Yongwei XIN Xiaolong MENG Biaolong |
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| Affiliation: | 1.Department of Mathematics, Northwest University, Xi’an 710127, China
2.College of Science, Xi’an University of Science and Technology, Xi’an 710054, China |
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| Abstract: | In order to investigate the properties of ideal theories of BCK/BCI-algebras further more, α]-intersectional soft BCK/BCI-ideal, as a generalization of an intersectional soft BCK/BCI-ideal, is initiated by introducing a parameter to an intersectional soft BCK/BCI-ideal. Several equivalent characterizations and relevant properties of α]-intersectional soft BCK/BCI-ideals are also given. The properties of image and inverse image of α]-intersectional soft BCK/BCI-ideals under a homomorphism are discussed. |
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| Keywords: | BCK/BCI-algebra soft set intersectional soft BCK/BCI-ideal |
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