Geodesic
Strong Commutativity Preserving Maps of Semiprime Rings
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 457-460

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DOI

In this paper we characterize maps f: R —> R where R is semiprime, f is additive, and [f(x),f(y)] = [x,y] for all x,y ∊ R. It is shown that f(x) = λx + ξ(x) where λ ∊ C, λ2 = 1, and ξ: R —> C is additive where C is the extended centroid of R.
DOI : 10.4153/CMB-1994-066-4
Mots-clés : 16N60, semiprime ring, extended centroid, strong commutativity preserving 
Brešar, Matej; Miers, C. Robert. Strong Commutativity Preserving Maps of Semiprime Rings. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 457-460. doi: 10.4153/CMB-1994-066-4
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     author = {Bre\v{s}ar, Matej and Miers, C. Robert},
     title = {Strong {Commutativity} {Preserving} {Maps} of {Semiprime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {457--460},
     year = {1994},
     volume = {37},
     number = {4},
     doi = {10.4153/CMB-1994-066-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-066-4/}
}
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