%0 Journal Article
%T On properties of nil subsets in difference algebras
%A E. H. Roh
%A Y. B. Jun
%A S. Y. Kim
%A W. H. Shim
%J Tamkang Journal of Mathematics
%D 2001
%I Tamkang University
%R 10.5556/j.tkjm.32.2001.167-172
%X In this paper, we introduce the concept of nil subsets by using nilpotent elements, and investigate some related properties. We show that a nil subset on a subalgebra (resp. (closed) ideal) is a subalgebra (resp. (closed) ideal). We also prove that in a nil algebra every ideal is a subalgebra.
%U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/371