近环的强半素理想

STRONGLY SEMIPRIME IDEAL IN NEAR--RINGS

本文定义了近环的强半素理想和强半素近环,并阐明了它们的一些性质。

Let N be a (right) near-ring and S be an ideal of N. S is called stronglysemiprime if xNx ? S for x∈N implies that x∈S. If {0} is a strongly semi-prime ideal of N, then N is called a strongly semiprime near-ring. In thispaper, the author discusses the properties of strongly semiprime ideals andstrongly semiprime near-rings.