Core-EP decomposition and related relations revisited
Abstract
We study relations that are induced by the core-EP decomposition. We revisit the core-EP preorder and extend the concepts of the core-minus, the c-minus, and the c-star partial orders from the set of all $n\times n$ complex matrices to the set of all core-EP invertible elements in a $\ast$-ring. Several characterizations of these relations are presented and thus some known results are generalized.
Fields of Study & Subjects
Rings
Modules
and Algebras
Polynomial and algebraic computation
Coding theory and cryptography
Publication details
- Journal / source
- International Electronic Journal of Algebra
- Publisher
- The International Electronic Journal of Algebra
- Volume
- 40
- Issue
- 40
- Pages
- 91–113
- Publication date
- 3 March 2026
- Language
- EN