作 者: ;
机构地区: 黄冈师专
出 处: 《黄冈师专学报》 1994年第1期1-4,共4页
摘 要: 设〈X;*,0〉为一个BCI-代数,L(X)为X的所有原子的集合.本文将给出L(X)为X的理想的若干充要条件,从而回答了文[1]中提出的一个公开的问题.此外,还研究了在L(X)为X的理想时,X的分支结构以及X和X/L(X)的构造. Let X be a BCI-algebra, and let L(X) be the set of all atoms of X. In this paper, we first give some necessary and sufficient conditions for L(X) to be an ideal of X, and also give the answer to the open problem posed by M. Jie and X. X. Long in [1]. Next, we investigate the structures of X/L(X), X and the branches of X in case L(X) is an ideal of X.