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Communications in Algebra Volume 33, 2005 - Issue 9
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Original Articles

Outer Generalized Inverses in Rings

Dragan S. Djordjević Department of Mathematics, Faculty of Science and Mathematics, University of Niš, Serbia and MontenegroCorrespondence[email protected]
&
Yimin Wei Department of Mathematics and Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, P.R. China
Pages 3051-3060 | Received 15 Apr 2004, Accepted 03 Dec 2005, Published online: 21 Oct 2011
 
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ABSTRACT

In this article we formulate basic results on outer generalized inverses of elements in rings. We characterize elements which have the same idempotents related to their particular outer generalized inverses and investigate positive generalized inverses in C*-algebras.

Mathematics Subject Classification:

ACKNOWLEDGMENTS

The first author is supported by the Ministry of Science, Technology, and Development of Serbia, under Grant no. 1232. The second author is supported by the National Natural Science Foundation of China, under grant no. 10471027 and Shanghai Education Commitee.

Notes

# Communicated by D. Easdown.

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