International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 20, Pages 3261-3268
doi:10.1155/IJMMS.2005.3261
On pairs of subrings with a common set of proper ideals.
Yasuyuki Hirano1
and Hisaya Tsutsui2
1Department of Mathematics, Okayama University, Okayama 700-8530, Japan
2Department of Mathematics, Embry-Riddle Aeronautical University, Prescott 86301, AZ, USA
Abstract
A study of pairs of commutative rings with the same set of prime ideals appears in the literature. In this paper, we investigate pairs of subrings, not necessarily commutative, with a common set of proper ideals.