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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: 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., (Algebra, Vol. 2 (1974), Univ. Press: Univ. Press Aberdeen)
[4] D. Handelman; D. Handelman · 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: Univ. of Chicago Press Chicago · Zbl 0232.16001
[8] Herstein, I. N., Rings with involution (1976), Univ. of Chicago Press: 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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