Outer fractions in quadratic Jordan algebras
Using new techniques of Zel'manov, C. Martinez improved on
work of Jacobson, McCrimmon, and Parvathi to give a necessary and
sufficient Ore-type condition for an arbitrary linear Jordan algebra
(with no 2- or 3-torsion) to have an algebra of fractions. In this paper
we extend to quadratic algebras the concept of algebras of outer
fractions with respect to an Ore monad, and describe necessary and
sufficient Ore-type conditions for the imbedding in such an algebra of
fractions. The details of the actual imbedding will appear in a
subsequent paper.
J. Bowling < kmm4m@virginia.edu >
K. McCrimmon < jdb5e@yahoo.com >