Year: 2025
Type: article
Abstract: We present new additive results regarding the pseudo core inverse in a ring with involution. We establish the necessary and sufficient conditions under which the sum of two pseudo core invertible elements in a ring is also pseudo core invertible. As an application, we investigate the pseudo core invertibility of operator matrices. These findings extend the additive result on pseudo core invertibility by Gao and Chen [Comm. Algebra, 46 (2018), 38-50].
Source: Filomat
DOI: 10.2298/fil2501001c
Authors: Huanyin Chen, Abdolyousefi Sheibani
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412913321