Moore-Penrose m-weak group inverses in rings with involution
Year: 2025
Type: article
Abstract: In 2024, Mosic et al. defined the Moore-Penrose m-weak group inverse (MP-m-WGI) of a complex matrix by combining the Moore-Penrose inverse with m-weak group inverse in an appropriate way. In this paper, we generalize it to rings with involution and define the MP-m-WGI of an element in rings with involution. Some expressions and characterizations for this generalized inverse are presented. Then, we establish the relationship between the MP-m-WGI and (b, c)-inverse. Finally, we give some equivalent characterizations when the MP-m-WGI coincides with other generalized inverses, such as the Drazin inverse and the pseudo core inverse.
Source: Filomat
DOI: 10.2298/fil2509929x
Authors: Shuxian Xu, Jianlong Chen, Yukun Zhou
Institution: Southeast University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413196329