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| 关于四种弱BCI-代数及其可分配性 | |
| 引用本文： | 平征,张海珍,周志峰.关于四种弱BCI-代数及其可分配性[J].宁德师专学报(自然科学版),2008,20(1):3-6. |
| 作者姓名： | 平征 张海珍 周志峰 |
| 作者单位： | 1. 宁德师范高等专科学校数学系,福建,宁德,352100 2. 西安科技大学数学系,陕西,西安,710600 3. 厦门市第十中学,福建,厦门,361021 |
| 摘 要： | 引入比BCI-代数条件更弱的四种弱BCI-代数，讨论它们的等价条件，并给出弱BCI-代数的一种二元运算“＋”：x＊y=x＋（x＊y），讨论了与这种运算相关的可分配性，进而四种弱BCI-代数在可分配下得到统一． |
| 关 键 词： | 弱BCI-代数 弱BCK-代数 左(右)分配律 分配律 广义结合弱BCI-代数 |
| 文章编号： | 1004-2911(2008)01-0003-04 |
| 修稿时间： | 2007年12月10 |
Four kinds of BCI -algebras and their available distributivity |
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| PING Zheng,ZHANG Hai-zhen,ZHOU Zhi-feng.Four kinds of BCI -algebras and their available distributivity[J].Journal of Ningde Teachers College(Natural Science),2008,20(1):3-6. | |
| Authors: | PING Zheng ZHANG Hai-zhen ZHOU Zhi-feng |
| Institution: | PING Zheng , ZHANG Hai - zhen , ZHOU Zhi - feng( 1. Department of Mathematics, Ningde Teachers College,Ningde Fujian 352100, China; 2. Department of Mathematics,Xi＇ an University of Science and Technology,Xian Shangxi 710600,China; 3. Xiamen No. 10 Middle School,Xiamen Fujian 361021 ,China) |
| Abstract: | In this section, I introduce four kinds of weak BCI - algebras which are weaker than the BCI - algebra and discuss their equational conditions, and meanwhile,intend to show a binary operation ＂ ＋ ＂ recalled by in weak BCI - algebras. At the same time, I want to discuss this kind of operation in order to integrate these four kinds of weak BCI - algebras with the condition of available distributivity. |
| Keywords: | weak BCI-algebra weak BCK-algeb＇ra left （right） distribution law distribution law generalized associative weak BCI- algebra |
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