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c-orderable division rings with involution. (English) Zbl 0482.16013

MSC:
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
16Kxx Division rings and semisimple Artin rings
16U60 Units, groups of units (associative rings and algebras)
16W80 Topological and ordered rings and modules
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References:
[1] Berberian, S, Baer ^∗-rings, (1972), Springer-Verlag New York/Heidelberg/Berlin · Zbl 0242.16008
[2] Chacron, M; Herstein, I.N, Powers of skew and symmetric elements in division rings, Houston J. math., 1, 15-27, (1975) · Zbl 0314.16013
[3] Cohn, P.M, ()
[4] \scD. Handelman, Rings with involution, as partially ordered abelian groups, to appear. · Zbl 0473.16013
[5] Holland, S.S, Orderings and square roots in ^∗-field, J. algebra, 46, (1977) · Zbl 0359.12023
[6] ^∗-valuations and ordered ∗-fields, Trans. amer. math. soc., 262, No. 1, 219-243, (1980) · Zbl 0482.12009
[7] Herstein, I.N, Topics in ring theory, (1969), Univ. of Chicago Press Chicago · Zbl 0232.16001
[8] Herstein, I.N, Rings with involution, (1976), Univ. of Chicago Press Chicago · Zbl 0343.16011
[9] Prestel, A, Quadratische semi-ordnungen und quadratische formen, Math. Z., 133, 317-342, (1973) · Zbl 0275.12013
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