| Some Characterizations of Nil Ideals in BCI—algebras |
| |
| 引用本文： | 黄文平,徐少贤. Some Characterizations of Nil Ideals in BCI—algebras[J]. 数学季刊, 1997, 12(1): 65-69 |
| |
| 作者姓名： | 黄文平 徐少贤 |
| |
| 作者单位： | Huang Wenping(Dept. of Math.，Shanxi Teacher's University，Xi' an，710062 )Xu Shaoxian(Dept. of Math.，Nanyang Teacher's College，Nanyang，Henan，473061 ) |
| |
| 摘 要： | 51.IntrodcutionIn[1j,thenotionsofnilidealinBCI-algebrasandinlBCI-algebrawereintreduced.WeshowthatnilBCI-algebraisageneralizationofassociativeandquasi-associativeBCIalgebra([2J,[3j).lnthispaper,somecharacterizationsofnilidealsinBCI-algebraswereproved.Moreover,theBCI-algebrassatifyingO*x.=xwerediscussedandvariousproPertieswereproved.Werecallsomedefinitionsande1ementaryproperties.ThefollowingsaretrueinaBCI-al-gebra:(l)x o=x;(2)(x*y)*z=(x z) y;(3)x
|
| 关 键 词： | BCI代数 诣零理想 k－相伴 |
Some Characterizations of Nil Ideals in BCI-algebras |
| |
| Huang Wenping. Some Characterizations of Nil Ideals in BCI-algebras[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 65-69 |
| |
| Authors: | Huang Wenping |
| |
| Affiliation: | [1]Dept.of [2]Math.,Shanxi |
| |
| Abstract: | Some properties of nil ideals in BCI-algebras are discussed. The notion of k-associative BCI-algebras which is a generalization of associative and quasi-associative BCI-algebras is introduced. Moreover,several characterizations of k-associative BCI-algebras are given. |
| |
| Keywords: | BCI-algebra nil ideal k-associative BCI-algebra |
| 本文献已被 CNKI 维普 等数据库收录！ |
