Year: 2025
Type: article
Abstract: In this article, we present the concept of one sided x-projection, explore and investigate left and right x-projection elements, and introduce new characterizations of one sided x-idempotent elements in a +-ring. We also propose numerous equivalent conditions for left x-projections within a given ring. Next, several equivalent conditions about Hermitian, one sided x-projection, one sided x-idempotent, and strongly EP elements in a +-ring are given.
Source: Filomat
DOI: 10.2298/fil2505539g
Authors: Bakri Gadelseed, Junchao Wei
Institutions: University of Nyala, Yangzhou University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412757100