| BCI—代数的T—理想 |
| |
| 引用本文： | 张小红.BCI—代数的T—理想[J].湖南师范大学教育科学学报,1994(2). |
| |
| 作者姓名： | 张小红 |
| |
| 作者单位： | 汉中师范学院数学系 汉中 |
| |
| 摘 要： | 本文引入BCI—代数的T—理想概念,利用这个新理想,给出T型BCI—代教(或拟结合BCI—代数)的特征性质。主要结果是:BCI—代数X是T型的(或拟结合的)当且仅当X的每个理想是T—理想;BCI—代数X的理想A决定的商代数X/A是T型BCI—代数(或拟结合 BCI—代数)当且仅当A是X的T—理想。
|
| 关 键 词： | T型BOI-代数 拟结合BOI-代数 T-理想 商代数 |
T-IDEAL OF A BCI-ALGEBRA |
| |
| Zhang Xiaohong.T-IDEAL OF A BCI-ALGEBRA[J].Journal of Educational Science of Hunan Normal University,1994(2). |
| |
| Authors: | Zhang Xiaohong |
| |
| Institution: | Zhang Xiaohong Department of Mathematics,Hanzhong Teachers' College,Hanzhong 723000 |
| |
| Abstract: | In this paper the concept of the T-ideals of a BCI-algebra isintroduced. With this new type of ideals the author gives a characteri-zation of T-type BCI-algebras (or Quasi-associative. BCI-algebras) .Themain results are as follows: A BCI-algebra X is T-type iff every ideal ofX is a T-ideal; if A is an ideal of a BCI-algebra X, then the quotientalgebra X/A is Quasi-associative BCI-algebra iff A is a T-ideal of X. |
| |
| Keywords: | T-type BCI--algebra quasi-associative BCI--algebra T-ideal quotient algebra |
| 本文献已被 CNKI 等数据库收录！ |
