journal article Jun 01, 1989

Baer orderings with noninvariant valuation ring

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References
17
[1]
M. Chacron,c-orderable division rings with involution, J. Algebra75 (1982), 495–522; correction, J. Algebra124 (1989), 230–235. 10.1016/0021-8693(82)90053-9
[2]
M. Chacron and A. Wadsworth,On decomposing c-valued division rings, J. Algebra, to appear.
[3]
T. Craven,Orderings and valuations on *-fields, Proceedings of the Corvallis Conference on Quadratic Forms and Real Algebraic Geometry, Rocky Mountain J. Math., to appear.
[4]
Yu. L. Ershov,Valued division rings, inFifth All Union Symposium, Theory of rings, Algebras, and Modules, Akad. Nauk SSSR Sibirsk. Otdel, Inst. Mat., Novosibirsk, 1982, pp. 53–55 (in Russian).
[5]
S. Holland,*-Valuations and ordered *-fields, Trans. Am. Math. Soc.262 (1980), 219–243.
[6]
S. Holland,Strong ordering of *-fields, J. Algebra101 (1986), 16–46. 10.1016/0021-8693(86)90094-3
[7]
S. Holland,Baer ordered *-fields of the first kind, Isr. J. Math.57 (1987), 365–374. 10.1007/bf02766220
[8]
I. Idris,*-valuated division rings, orderings and elliptic Hermitian spaces, Ph.D. thesis, Carleton University, Ottawa, Canada, 1986.
[9]
B. Jacob and A. Wadsworth,A new construction of noncrossed product algebras, Trans. Am. Math. Soc.293 (1986), 693–721. 10.1090/s0002-9947-1986-0816320-x
[10]
B. Jacob and A. Wadsworth,Division algebras over Henselian fields, J. Algebra, to appear. 10.1016/0021-8693(90)90047-r
[11]
T.-Y. Lam,Orderings, Valuations, and Quadratic Forms, CBMS Publ. No. 52, Am. Math. Soc., Providence, RI, 1983. 10.1090/cbms/052
[12]
P. Morandi,The Henselization of a valued division algebra, J. Algebra122 (1989), 232–243. 10.1016/0021-8693(89)90247-0
[13]
V. P. Platonov and V. I. Yanchevskii,Dieudonné’s conjecture on the structure of unitary groups over a division ring, and Hermitian K-theory, Izv. Akad. Nauk SSSR, Ser. Mat.48 (1984), 1266–1294; (English transl.) Math. USSR Izv.25 (1985), 573–599.
[14]
A. Prestel,Lectures on Formally Real Fields, Lecture Notes in Math., Vol. 1093, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984. 10.1007/bfb0101548
[15]
O. F. G. Schilling,The Theory of Valuations, Math. Surveys No. 4, Am. Math. Soc., Providence, RI, 1950. 10.1090/surv/004
[16]
J.-P. Tignol and A. Wadsworth,Totally ramified valuations on finite dimensional division algebras, Trans. Am. Math. Soc.302 (1987), 223–249. 10.1090/s0002-9947-1987-0887507-6
[17]
A. Wadsworth,Extending valuations to finite dimensional division algebras, Proc. Am. Math. Soc.98 (1986), 20–22.
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Published
Jun 01, 1989
Vol/Issue
68(2)
Pages
241-255
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Patrick J. Morandi, Adrian R. Wadsworth (1989). Baer orderings with noninvariant valuation ring. Israel Journal of Mathematics, 68(2), 241-255. https://doi.org/10.1007/bf02772663
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