Reverse order law for the core inverse in rings
From MaRDI portal
Publication:723877
DOI10.1007/s00009-018-1189-6zbMath1392.16038OpenAlexW2805939170WikidataQ114852573 ScholiaQ114852573MaRDI QIDQ723877
Honglin Zou, Pedro Patrício, Jian-Long Chen
Publication date: 24 July 2018
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1822/64279
Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99)
Related Items
The structures and properties of some generalized invertible operators ⋮ Further results on weighted core inverse in a ring ⋮ On forward-order law for core inverse in rings ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ On a new generalized inverse for Hilbert space operators ⋮ Absorption laws and reverse order laws for generalized core inverses ⋮ The forward order laws for the core inverse ⋮ The group inverse and core inverse of sums of two elements in a ring ⋮ The core inverses of linear combinations of two core invertible matrices ⋮ Reverse order laws for Hirano inverses in rings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some results on the reverse order law in rings with involution
- Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces
- The reverse order law \((ab)^\#=b^\dagger (a^\dagger abb^\dagger)^\dagger a^\dagger\) in rings with involution
- Reverse order law for the group inverses
- Reverse order laws in \(C^{*}\)-algebras
- A comment on some recent results concerning the reverse order law for \(\{ 1, 3, 4 \}\)-inverses
- Group, Moore-Penrose, core and dual core inverse in rings with involution
- The product of operators with closed range and an extension of the reverse order law
- Block generalized inverses
- A note on the group structure of unit regular ring elements
- New characterizations for core inverses in rings with involution
- On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
- Reverse order law for the group inverse in rings
- An invariance property of operator products related to the mixed-type reverse order laws
- Various solutions to reverse order law problems
- Hartwig’s triple reverse order law revisited
- Characterizations of the core inverse and the core partial ordering
- Reverse order law (ab)+ = b+(a+abb+)+a+ in rings with involution
- Pseudo-Inverses in Associative Rings and Semigroups
- Core inverse of matrices
- The group inverse of a companion matrix
- Reverse Order Law for the Group Inverse in Semigroups and Rings
- Characterizations and Representations of Core and Dual Core Inverses
- Note on the Generalized Inverse of a Matrix Product
- Further results on the reverse order law for the group inverse in rings
