Zero product preserving maps on matrix rings over division rings

DOI10.1090/conm/750/15110zbMath1457.16017OpenAlexW3021778108MaRDI QIDQ3296078

Matej Brešar, Peter Šemrl

Publication date: 3 July 2020

Published in: Linear and Multilinear Algebra and Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/750/15110

zbMATH Keywords

division ringmatrix ringzero product preserving mapkernel-image preserving map

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Infinite-dimensional and general division rings (16K40) Linear preserver problems (15A86)

Related Items (2)

Surjective maps preserving the reduced minimum modulus of products ⋮ Nonlinear preservers problem of complex symmetric operators

Cites Work

• Zero product determined matrix algebras
• Generalized symmetry transformations on quaternionic indefinite inner product spaces: An extension of quaternionic version of Wigner's theorem
• An elementary proof of the fundamental theorem of projective geometry
• Introduction to noncommutative algebra.
• Maps preserving zero products
• Maps on idempotents
• Mappings preserving zero products
• Multiplication algebra and maps determined by zero products
• Automorphisms of the Field of Complex Numbers

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