| 关于BCI—代数的超幂零根与特殊根 |
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| 引用本文： | 谢开端.关于BCI—代数的超幂零根与特殊根[J].湖南师范大学自然科学学报,1992,15(2):101-105. |
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| 作者姓名： | 谢开端 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： |
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| 关 键 词： | 代数 BCI－代数 超幂零根 特殊根 |
ON THE SUPERNILPOTENT RADICALS AND SPECIAL RADICALS FOR BCI-ALGEBRAS |
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| Xie Kaiduan.ON THE SUPERNILPOTENT RADICALS AND SPECIAL RADICALS FOR BCI-ALGEBRAS[J].Journal of Natural Science of Hunan Normal University,1992,15(2):101-105. |
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| Authors: | Xie Kaiduan |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, by using the concept of ideal subalgebras in BCI-algebra given by Xiao Zuwen in4], we give the concepts of weak simple BCI-algebra and weak prime BCI-algebra. At the same time, we introduced the notion of BCI-algebra with heart. Then,we concretely discussed the class of all BCI-algebra with heart and it determines the upper radical. Finally, we establish the notions of supernilpotent radicals and special radicals in BCI-algebras. At the same time, we give and prove a characterization of special radical of a BCI-algebra. |
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| Keywords: | algebra ideal (mathematics) radical subdirect products homomorphism/BCI-algebra |
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