Published January 1, 2020 | Version v1
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On gs-Drazin inverses in a ring

  • 1. Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China
  • 2. Tubitak Bilgem, Kocaeli, Turkey

Description

An element a in a ring R has a gs-Drazin inverse if there exists p(2) = p is an element of comm(2)(a) such that a - p is an element of R-qnil. In this paper, we extend Cline's formula and Jacobson's Lemma for gsDrazin inverses. Various additive properties of gs-Drazin inverses are thereby obtained.

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