On Cayley-Dickson Rings
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 625-627
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M. Slater has shown that a prime alternative (not associative) ring R such that 3R≠0 is a Cayley-Dickson ring, [7], That is, if F is the field of quotients of the center, Z, of R then F ⊗Z R is a Cayley-Dickson algebra.
Britten, Daniel J. On Cayley-Dickson Rings. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 625-627. doi: 10.4153/CMB-1974-115-8
@article{10_4153_CMB_1974_115_8,
author = {Britten, Daniel J.},
title = {On {Cayley-Dickson} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {625--627},
year = {1975},
volume = {17},
number = {5},
doi = {10.4153/CMB-1974-115-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-115-8/}
}
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