Abstract
It is shown that any alternative ring A A equipped with the relation ⩽ \leqslant , defined by x ⩽ y x \leqslant y if and only if x y = x 2 xy = {x^2} , is isomorphic to a direct product of alternative division rings if and only if the relation ⩽ \leqslant is a partial order on A A such that A A is hyperatomic and orthogonally complete.
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