Centralizing Automorphisms of Prime Rings
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 113-115
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Let R be a prime ring and T be a nontrivial automorphism of R. If xxT —xTx is in the center of the ring for every x in R, then R is a commutative integral domain.
Mayne, Joseph H. Centralizing Automorphisms of Prime Rings. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 113-115. doi: 10.4153/CMB-1976-017-1
@article{10_4153_CMB_1976_017_1,
author = {Mayne, Joseph H.},
title = {Centralizing {Automorphisms} of {Prime} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {113--115},
year = {1976},
volume = {19},
number = {1},
doi = {10.4153/CMB-1976-017-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-017-1/}
}
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