Elements of rings with equal spectral idempotents

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Abstract

In this paper we define and study a generalized Drazin inverse xD for ring elements x, and give a characterization of elements a, b for which aaD = bbD. We apply our results to the study of EP elements in a ring with involution.

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APA

Koliha, J. J., & Patricio, P. (2002). Elements of rings with equal spectral idempotents. Journal of the Australian Mathematical Society, 72(1), 137–152. https://doi.org/10.1017/S1446788700003657

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