SEP elements in a ring with involution
In this paper, we provide many new characterizations of SEP elements in terms of exponentiation, projection, and anti-Hermitian elements. Additionally, we investigate idempotent elements and one-sided x-idempotence to characterize SEP elements. Finally, we discuss x-commutativity and one-sided x-equality to characterize SEP elements.
Authors
- Yanhui Ma
- Junchao Wei (ORCID: https://orcid.org/0000-0002-7310-1836)
- X. L. Wang (ORCID: https://orcid.org/0009-0004-4505-1490)
Institutions
- Yangzhou University (CN)
Publication Details
- Journal
- Filomat
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/fil2504119j
- Citations
- 1
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 1.50