%0 Journal Article
%T Two-sided essential nilpotence
%A Esfandiar Eslami
%A Patrick Stewart
%J International Journal of Mathematics and Mathematical Sciences
%D 1992
%I Hindawi Publishing Corporation
%R 10.1155/s0161171292000449
%X An ideal I of a ring A is essentially nilpotent if I contains a nilpotent ideal N of A such that J бщ    N бщ бы  0 whenever J is a nonzero ideal of A contained in I. We show that each ring A has a unique largest essentially nilpotent ideal EN(A). We study the properties of EN(A) and, in particular, we investigate how this ideal behaves with respect to related rings.
%K essential ideal
%K nilpotent ideal
%K free normalizing extension
%K crossed product
%K Morita equivalent
%K fixed ring.
%U http://dx.doi.org/10.1155/S0161171292000449