The role of $T(X)$ in the ideal theory of BCI-algebras
Bull. Korean Math. Soc. 1997 Vol. 34, No. 2, 199-204
Xiaohong Zhang and Young Bae Jun Hanzhong Teachers College, Gyeongsang National University
Abstract : We construct a special set, called $T$-part, in a BCI-algebra $X$. We show that the $T$-part of $X$ is a subalgebra of $X$. We give equivalent conditions that the $T$-part of $X$ is an ideal. By using $T$-part, we provide an equivalent condition that every ideal is a $T$-ideal.