a1 Department of Mathematics Fujian Normal, University Fuzhou Fujian, 350007 Peoples, Republic of China
An associative ring is called strongly right (left) bounded if every nonzero right (left) ideal contains a nonzero ideal. We prove that if R is a strongly right bounded finite ring with unity and the order |R| of R has no factors of the form p5, then R is strongly left bounded. This answers a question of Birkenmeier and Tucci.
(Received November 06 1990)