Linear maps preserving idempotence on matrix modules over principal ideal domains

DOI10.1016/S0024-3795(96)00203-0zbMath0877.16014MaRDI QIDQ1359189

Shaowu Liu

Publication date: 30 November 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

commutative principal ideal domainslinear maps that preserve idempotence

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04)

Related Items (11)

Invertible linear maps preserving \(\{1\}\)-inverses of matrices over PID ⋮ Maps on infinite triangular matrices preserving idempotents ⋮ Idempotent elements determined matrix algebras ⋮ Linear maps preserving Drazin inverses of matrices over fields ⋮ Linear maps preserving idempotents of tensor products of matrices ⋮ Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings ⋮ Inverse-preserving linear maps between spaces of matrices over fields ⋮ Additive preservers of idempotence and Jordan homorphisms between rings of square matrices ⋮ Linear \(k\)-power/\(k\)-potent preservers between matrix spaces ⋮ Linear maps preserving Drazin inverses of matrices over local rings ⋮ Idempotence preserving maps between matrix spaces

Cites Work

• Linear operators preserving idempotent matrices over fields
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Linear maps preserving idempotence on matrix modules over principal ideal domains