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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2025 Number 1, Pages 52–65 (Mi ivm10054)

Further common spectral properties for some generalized inverses in a ring

S. Hadji

Mohammed V University in Rabat, Ecole Normale Supérieure, PO Box 5118, Takaddoum, Rabat, 10105 Morocco

Abstract: Extensions of Cline's formula for some new generalized inverses such as strong Drazin inverse, generalized strong Drazin inverse, Hirano inverse and generalized Hirano inverse are presented. These extend many known results, e. g., Z. Wu and Q. Zeng, Extensions of Cline's formula for some new generalized inverses, Filomat 35, 477–483 (2021).

Keywords: Cline's formula, ring, strong Drazin inverse, generalized strong Drazin inverse, Hirano inverse, generalized Hirano inverse.

UDC: 512

Received: 15.01.2024
Revised: 18.04.2024
Accepted: 26.06.2024

DOI: 10.26907/0021-3446-2025-1-52-65


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2025, 69:1, 45–59


© Steklov Math. Inst. of RAS, 2025