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On Prime Goldie-Like Quadratic Jordan Matrix Algebras(1)

Published online by Cambridge University Press:  20 November 2018

Daniel J. Britten
Daniel J. Britten*
Affiliation:
Math. Building University of Windsor Windsor, ONT. N9B 3P4
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 39 - 45
Copyright
Copyright © Canadian Mathematical Society 1977

Footnotes

(1)

This paper was prepared while the author was at the 1975 Summer Research Institute at Dalhousie University and held NRC grant A8471.

References

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