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c-Orderable division rings with involution
1982
Journal of Algebra
DEDICATEDTO THE MEMORY OF MY MOTHER. Let R be any division ring with involution. The *-core (resp. core) of R is the set of elements of the form where each term pi is some non-zero product of norms aa* (resp. squares a'). T. Szele proved that in order for the division ring R to be Hilbert ordered (e.g., R has some total order relation, which is additive and multiplicative) it is necessary and sufficient that the core of R exclude 0. In this paper we shall investigate the division rings with
doi:10.1016/0021-8693(82)90053-9
fatcat:5zmz3pjtcbcg3jjfjdbit4hopi