On Commutativity and Strong Commutativity-Preserving Maps
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 443-447
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If R is a ring and S ⊆ R, a mapping f:R —> R is called strong commutativity- preserving (scp) on S if [x, y] = [f(x),f(y)] for all x,y € S. We investigate commutativity in prime and semiprime rings admitting a derivation or an endomorphism which is scp on a nonzero right ideal.
Bell, Howard E.; Daif, Mohamad Nagy. On Commutativity and Strong Commutativity-Preserving Maps. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 443-447. doi: 10.4153/CMB-1994-064-x
@article{10_4153_CMB_1994_064_x,
author = {Bell, Howard E. and Daif, Mohamad Nagy},
title = {On {Commutativity} and {Strong} {Commutativity-Preserving} {Maps}},
journal = {Canadian mathematical bulletin},
pages = {443--447},
year = {1994},
volume = {37},
number = {4},
doi = {10.4153/CMB-1994-064-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-064-x/}
}
TY - JOUR AU - Bell, Howard E. AU - Daif, Mohamad Nagy TI - On Commutativity and Strong Commutativity-Preserving Maps JO - Canadian mathematical bulletin PY - 1994 SP - 443 EP - 447 VL - 37 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-064-x/ DO - 10.4153/CMB-1994-064-x ID - 10_4153_CMB_1994_064_x ER -
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