On Jacobson's lemma and Cline's formula for Drazin inverses

• Dijana Mosic ^[1]
  1. [1] University of Niˇs, Serbia
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 2, 2020, págs. 267-276
• Idioma: inglés
• Enlaces
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• Resumen

  • Under new conditions bac = bdb and cdb = cac, we present extensions of Jacobson’s lemma and Cline’s formula for the generalized Drazin inverse and pseudo Drazin inverse in a ring. Applying these results, we give Jacobson’s lemma for the Drazin inverse, group inverse, and ordinary inverse, and Cline’s formula for the Drazin inverse.