International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 45-48, Pages 2477-2482
doi:10.1155/S0161171204402361

Unit 1-stable range for ideals

Huanyin Chen and Miaosen Chen

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

Abstract

We investigate necessary and sufficient conditions under which a ring satisfies unit 1-stable range for an ideal. As an application, we prove that R satisfies unit 1-stable range for I if and only if QM2(R) satisfies unit 1-stable range for QM2(I).