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．
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.
出处
《纯粹数学与应用数学》
CSCD
1997年第2期94-98,共5页
Pure and Applied Mathematics
基金
陕西省教委专项科研基金
