Authors
Citation
Chen, Huan Yin, Exchange Rings Generated by Their Units, Acta mathematica Sinica. English series (Print) , 23(2), 2006, pp. 357-364
Journal title
ISSN journal
14398516
Volume
23
Issue
2
Year of publication
2006
Pages
357 - 364
Database
ACNP
SICI code
Abstract
Let R be an exchange ring with primitive factors artinian. We prove that there exists a u. U(R) such that 1 R ± u . U(R), if and only if for any a. R, there exists a u . U(R) such that a ± u . U(R). Furthermore, we prove that, for any A . M n (R)(n . 2), there exists a U . GL n (R) such that A ± U . GL n (R)