Title of article :
Cline’s Formula for the Generalized Drazin Inverse
Author/Authors :
CHEN، JIANLONG نويسنده Department of Mathematics , , Cui، Jian-Yuan نويسنده , , LIAO، YIHUA نويسنده Department of Mathematics & College of Mathematics and Information Science ,
Issue Information :
فصلنامه با شماره پیاپی سال 2014
Abstract :
It is well known that for an associative ring R, if ab is Drazin invertible then
ba is Drazin invertible. In this case, (ba)D = b((ab)D)2a: This formula is so-called Cline’s
formula. In this note, we generalize Cline’s formula to the case of the generalized Drazin
invertibility.
2010 Mathematics Subject Classification: 15A09, 16S10
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society