On Prime Goldie-Like Quadratic Jordan Matrix Algebras(1)
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 39-45
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In [1] and [2], there was given a characterization for linear Jordan matrix algebras whose coordinatizing ring is *-prime Goldie or a Cayley-Dickson ring (C-D ring). If one considers the corresponding question in the more general setting of quadratic Jordan algebra as defined by McCrimmon in [11], then the result is similar. In this latter case the ample quadratic Jordan algebras, as studied by Montgomery in [12] and [13], are brought into play.
Britten, Daniel J. On Prime Goldie-Like Quadratic Jordan Matrix Algebras(1). Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 39-45. doi: 10.4153/CMB-1977-008-0
@article{10_4153_CMB_1977_008_0,
author = {Britten, Daniel J.},
title = {On {Prime} {Goldie-Like} {Quadratic} {Jordan} {Matrix} {Algebras(1)}},
journal = {Canadian mathematical bulletin},
pages = {39--45},
year = {1977},
volume = {20},
number = {1},
doi = {10.4153/CMB-1977-008-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-008-0/}
}
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