On Maps Preserving Products

DOI10.4153/CMB-2005-033-8zbMath1092.16018OpenAlexW1971093412MaRDI QIDQ3372698

Long-Sheng Shiao, Wen-Fong Ke, Mikhail A. Chebotar, Pjek-Hwee Lee

Publication date: 10 March 2006

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2005-033-8

zbMATH Keywords

automorphismsprime ringspolynomial identitiesdivision ringsskew-symmetric elementsrings with involutionanti-automorphismsLie homomorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Infinite-dimensional and general division rings (16K40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (15)

On maps characterized by action on equal products ⋮ On maps preserving products equal to fixed elements ⋮ Fixed product preserving mappings on Banach algebras ⋮ Artin's theorem on alternative rings ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ On maps preserving products of matrices ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ Automatic continuity of biseparating homomorphisms defined between groups of continuous functions ⋮ A generalization of strongly preserver problems of Drazin invertibility ⋮ Determining Jordan (triple) homomorphisms by invertibility preserving conditions ⋮ Linear maps preserving products equal to primitive idempotents of an incidence algebra ⋮ On maps preserving products equal to a rank-one idempotent ⋮ On maps preserving rank-one nilpotents ⋮ On maps preserving products equal to a diagonalizable matrix ⋮ On maps preserving square roots of idempotent and rank-one nilpotent matrices

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