BCI—代数的T—理想

T-IDEAL OF A BCI-ALGEBRA

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。

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.