Noncrossed Product Division Algebras With A Baer Ordering

Let n|m be positive integers with the same prime factors, such that p^3|n for some prime p. We construct a noncrossed product division algebra D with involution *, of index m and exponent n, such that D possesses a Baer ordering relative to the involution *. Using similar techniques we construct indecomposable division algebras with involution possessing a Baer ordering.