Mappings preserving zero products
By M. Chebotar, W. Ke, P. Lee, Ngai-Ching Wong. 2003
140 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/50de4cb8a6bf28357444790593d74ea3ee68c8e4
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Mappings on matrices: invariance of functional values of matrix products (2006, background): “on various subsets S of an algebra; see [3, 7, 12, 18, 19].”
- Maps characterized by action on zero products (2004, result): “Our first theorem generalizes a similar result of Wong [34, Corollary D] for simple algebras with nontrivial idempotents, as well as some other results obtained for operator algebras [1] [13] [16] [33].”
- LOCAL DERIVATIONS AND LOCAL AUTOMORPHISMS ON SOME ALGEBRAS (2008, background): “Proof. Since Mn(A) can be generated by its idempotents, by Theorem 2.6 (iii) of [ 2 ] and f(I) = I, we have that f is a homomorphism.”