Bulletin of the Australian Mathematical Society
- Bulletin of the Australian Mathematical Society / Volume 44 / Issue 03 / December 1991, pp 353-355
- Copyright © Australian Mathematical Society 1991
- DOI: http://dx.doi.org/10.1017/S000497270002983X (About DOI), Published online: 17 April 2009
Research Article
On strongly right bounded finite rings
Weimin Xuea1
a1 Department of Mathematics Fujian Normal, University Fuzhou Fujian, 350007 Peoples, Republic of China
Abstract
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)
