| The Semigroup Characterizations of Positive Implicative BCK—algebras |
| |
| 引用本文： | 徐少贤,黄文平.The Semigroup Characterizations of Positive Implicative BCK—algebras[J].数学季刊,1998,13(3):86-90. |
| |
| 作者姓名： | 徐少贤 黄文平 |
| |
| 作者单位： | Xu Shaoxian (Department of Mathematics，Nanyang Teachers College) Huang Wenping (Department of Mathematics，Shanxi Normal University) |
| |
| 摘 要： | §１． ＩｎｔｒｏｄｕｃｔｉｏｎＢｙａＢＣＩ－ａｌｇｅｂｒａｗｅｍｅａｎａｎａｌｇｅｂｒａ（Ｘ，，０）ｏｆｔｙｐｅ（２，０）ｗｉｔｈｔｈｅｆｏｌｌｏｗｉｎｇｃｏｎｄｉ－ｔｉｏｎｓ：（１）（（ｘｙ）（ｘｚ））（ｚｙ）＝０；（２）（ｘ（ｘｙ））ｙ＝０；（３）ｘｘ＝０；（４）ｘｙ＝ｙｘ＝０ｉｍｐｌｉｅｓｘ＝ｙ．ＩｆａＢＣＩ－ａｌｇｅｂｒａ（Ｘ，，０）ｓａｔｉｓｆｉｅｓ（５）０ｘ＝０．ｔｈｅｎｉｔｉｓｃａｌｌｅｄａＢＣＫ－ａｌｇｅｂｒａ．ＩｎａＢＣＩ－ａｌｇｅｂｒａ，ｔｈｅｆ…
|
| 关 键 词： | 正蕴涵BCK代数 半群特征 理想 序滤子 |
The Semigroup Characterizations of Positive Implicative BCK algebras |
| |
| Xu Shaoxian.The Semigroup Characterizations of Positive Implicative BCK algebras[J].Chinese Quarterly Journal of Mathematics,1998,13(3):86-90. |
| |
| Authors: | Xu Shaoxian |
| |
| Institution: | [1]Department [2]of |
| |
| Abstract: | Adjoint semigroups of BCI algebras were introduced by Huang 1] and some of its important properties were obtained. In this paper,some characterizations of positive implicative BCK algebras are given by discussing the adjoint semigroups. Moreover,the semigroup differences between positive BCK algebras and implicative BCK algebras are discussed,and some semigroup characterizations of implicative BCK algebras are given. |
| |
| Keywords: | positive implicative BCK algebra implicative BCK algebra adjoint semigroup ideal order filter |
| 本文献已被 CNKI 维普 等数据库收录！ |
