关于四种弱BCI-代数及其可分配性  

Four kinds of BCI-algebras and their available distributivity

作　　者：平征[1] 张海珍[2] 周志峰 

机构地区：[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

出　　处：《宁德师专学报（自然科学版）》2008年第1期3-6,共4页Journal of Ningde Teachers College(Natural Science)

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.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.

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 

分 类 号：O154.3[理学—数学]