- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 A note on $k$-nil radicals in BCI-algebras Bull. Korean Math. Soc. 1997 Vol. 34, No. 2, 205-209 Sung Min Hong and Xiaolong Xin Gyeongsang National University, Northwest University Abstract : Let $A$ be a subset of a BCI-algebra $X$. We show that the $k$-nil radical of $A$ is the union of branches, and prove that (1) if $A$ is an ideal then the $k$-nil radical $[A;k]$ is a $p$-ideal of $X$; (2) if $A$ is a subalgebra, then the $k$-nil radical $[A;k]$ is a closed $p$-ideal, and hence a strong ideal of$X$. Keywords : $k$-nil radical, atom, branch, (closed) ideal, $p$-ideal, strong ideal MSC numbers : 03G25, 06F35, 16N99 Downloads: Full-text PDF