Commutant properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.svg" display="inline" id="d1e26"><mml:mi>w</mml:mi></mml:math>-core inverses
In this paper, we investigate commutant properties of the w -core inverse in a ∗ -semigroup. Among these, it is shown that if and only if a is equal projection (EP) with , where a and w are elements of a ∗ -semigroup. As applications, equivalent conditions such that a core invertible element is an EP element are given. Then, commutant properties of the w -core inverse for complex matrices are correspondingly given. Finally, some results on double commutants and the reverse order law for w -core inverses are given.
Authors
- Huihui Zhu (ORCID: https://orcid.org/0000-0002-0588-930X)
- Julio Benítez (ORCID: https://orcid.org/0000-0002-3222-3036)
- Chengcheng Wang (ORCID: https://orcid.org/0000-0002-1041-1060)
Institutions
- Hefei University of Technology (CN)
- Huangshan University (CN)
- Universitat Politècnica de València (ES)
Publication Details
- Journal
- Kuwait Journal of Science
- Published
- 2025-03-05
- DOI
- https://doi.org/10.1016/j.kjs.2025.100390
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China