| 广义a-结合BCI-代数 |
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| 引用本文： | 张富林.广义a-结合BCI-代数[J].纯粹数学与应用数学,1997(2). |
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| 作者姓名： | 张富林 |
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| 作者单位： | 陕西榆林高专数学系 |
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| 摘 要： | 引入了广义ａ－结合ＢＣＩ－代数的概念，研究了ＢＣＩ－代数的ｐ－半单部分与广义ａ－结合部分的关系．并将ｐ－半单ＢＣＩ－代数的若干重要性质推广到广义ａ－结合ＢＣＩ－代数上．最后我们证明了每个广义ａ－结合ＢＣＩ－代数可确定一个交换偏序幺半群．本文结果表明文［１］的正则ＢＣＩ－代数与ｐ－半单ＢＣＩ－代数是一致的．
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| 关 键 词： | 广义a－结合BCI－代数 p－半单BCI－代数 偏序幺半群 |
GENERALIZED A ASSOCIATIVE BCI ALGEBRAS |
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| Zhang Fulin.GENERALIZED A ASSOCIATIVE BCI ALGEBRAS[J].Pure and Applied Mathematics,1997(2). |
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| Authors: | Zhang Fulin |
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| Abstract: | In this paper, We introduce the notion of generalized a associative BCI algebras, and study the relationship between p semisimple part and generalized a associative part in BCI algebra. We extend some important properties of p semisimple BCI algebra to the generalized a associative BCI algebras. Finally, We prove that every generalized a associative BCI algebra determine a commutative pomonoid. The results of the paper show that reguler BCI algebra in is the same with p semisimple BCI algebras. |
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| Keywords: | generalized a associative BCI algebra p semisimple BCI algebra pomonoid |
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