A Note on Derivations II
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 509-511
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In a previous note on derivations [1] we determined the structure of a prime ring R which has a derivation d≠0 such that the values of d commute, that is, for which d(x) d(y) = d(y) d(x) for all x, y∈R. Perhaps even more natural might be the question: what elements in a prime ring commute with all the values of a non-zero derivation? We address ourselves to this question here, and settle it.
Herstein, I. N. A Note on Derivations II. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 509-511. doi: 10.4153/CMB-1979-066-2
@article{10_4153_CMB_1979_066_2,
author = {Herstein, I. N.},
title = {A {Note} on {Derivations} {II}},
journal = {Canadian mathematical bulletin},
pages = {509--511},
year = {1979},
volume = {22},
number = {4},
doi = {10.4153/CMB-1979-066-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-066-2/}
}
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