On the Drazin index of regular elements

• Autorzy: Pedro Patrício , António Costa
• Języki publikacji: EN

Abstrakty

EN

It is known that the existence of the group inverse a # of a ring element a is equivalent to the invertibility of a 2 a − + 1 − aa −, independently of the choice of the von Neumann inverse a − of a. In this paper, we relate the Drazin index of a to the Drazin index of a 2 a − + 1 − aa −. We give an alternative characterization when considering matrices over an algebraically closed field. We close with some questions and remarks.

Słowa kluczowe

EN

Drazin inverse; Drazin index; Dedekind finite ring; Regular ring

Kategorie tematyczne

• 15A09: Matrix inversion, generalized inverses

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 2
• Strony: 200-205

Daty

wydano

2009-06-01

online

2009-05-24

Twórcy

autor

Pedro Patrício

• Centro de Matemática, Universidade do Minho, Braga, Portugal

autor

António Costa

• Centro de Matemática, Universidade do Minho, Braga, Portugal

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0015-6