izvuzmathИзвестия высших учебных заведений. МатематикаIzvestiya Vysshikh Uchebnykh Zavedenii. Matematika0021-34462076-4626Казанский (Приволжский) федеральный университет10.26907/0021-3446-2025-1-52-65izvuzmath-154Research ArticleСтатьиДополнительные общие спектральные свойства для некоторых обобщенных обратных элементов в кольцеFurther common spectral properties for some generalized inverses in a ringХаджиС.HadjiS.

Хаджи Суфиан.

а/я 5118, Такаддум, Рабат, 10105

Soufiane Hadji.

PO Box 5118, Takaddoum, Rabat, 10105

soufiane.hadji@usmba.ac.maРабатский университет Мухаммеда V, Высшая нормальная школаМароккоMohammed V University in Rabat, Ecole Normale SuperieureMorocco202505022025015265Copyright © Хаджи С., 20252025Хаджи С.Hadji S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://izvuzmath.elpub.ru/jour/article/view/154

Представлены обобщения формулы Клайна для некоторых новых обобщенных обратных элементов, таких как сильный обратный элемент Дразина, обобщенный сильный обратный элемент Дразина, обратный элемент Хирано и обобщенный обратный элемент Хирано. Эти результаты расширяют многие известные утверждения, например, результаты 3. By и К. Зена (Extensions of Cline’s formula for some new generalized inverses, Filomat 35, 477-483 (2021)).

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).

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The authors declare that there are no conflicts of interest present.