REFERENCES
- Artin , M. ( 1982 ). Left ideals in maximal orders. Brauer groups in ring theory and algebraic Geometry . Lect. Notes Math. 917: 182 – 193 .
- Bazyleu , D. F. ( 2003 ). Indices of Ω-algebras with special ramification . Vesti Nats. Akad. Nauk Belarusi 2 : 11 – 13 .
- Bazyleu , D. F. , Van Geel , J. , Yanchevskiĭ , V. I. ( 2002 ). Ω-algebras over rational function field with special fields of constants . Dokl. Nats. Akad. Nauk Belarusi 46 ( 6 ): 21 – 22 .
- Bazyleu , D. F. , Tikhonov , S. V. , Yanchevskiĭ , V. I. ( 2004 ). Conic bundles over real formal power series fields . Algebra and Discrete Mathematics 11 : 1 – 16 .
- Bazyleu , D. F. , Van Geel , J. , Yanchevskiĭ , V. I. ( 2007 ). Ω-algebras over Henselian discrete valued fields with real closed residue field . Bull. of the Belgian Math. Soc. - Simon Stevin 14 ( 1 ): 51 – 71 .
- Becher , K. ( 2006 ). On fields of u-invariant 4 . Arch. Math. 86 : 31 – 35 .
- Becker , E. ( 1978 ). Hereditary-Pythagorean Fields and Orderings of Higher Level . IMPA Monografias de Mathemática nr. 29. Rio de Janeiro .
- Bushuev , I. A. , Yanchevskiĭ , V. I. ( 2002 ). On algebras of exponent 2 trivial at all real closures of their centers . Dokl. Nats. Akad. Nauk Belarusi 46 ( 2 ): 18 – 20 .
- Colliot-Thélène , J.-L. , Sansuc , J.-J . ( 1981 ). On the Chow group of certain rational surfaces: a sequel to a paper of Bloch . Duke Math. J. 48 : 421 – 447 .
- Faddeev , D. K. ( 1951 ). Simple algebras over a function field in one variable . Proc. Steklov Inst. 38 : 49 – 112 .
- Iskovskih , V. A. ( 1967 ). Rational surfaces with a pencil of rational curves . Math. Sbornik 74 : 608 – 638 ; English translation in Math. USSR Sb. (1967), 3 : 563 – 587 .
- Iskovskih , V. A. ( 1979 ). Minimal models of rational surfaces over arbitrary fields . Izv. Akad. Nauk. SSSR, Ser. Mat. 43 : 19 – 43 ; English translation in Math. USSR Izv. (1980), 14:17–39 .
- Kunyavskii , B. E. , Rowen , L. H. , Tikhonov , S. V. , Yanchevskiĭ , V. I. (2006). Bicyclic algebras of prime exponent over function fields. Trans. Am. Math. Soc. 358:2579–2610.
- Lam , T. Y. , Leep , D. B. , Tignol , J.-P . ( 1993 ). Biquaternion algebras and quartic extensions . IHES 77 : 63 – 102 .
- Scharlau , W. ( 1985 ). Quadratic and Hermitian Forms . Grundlehren Math. Wiss. 270 , Berlin : Springer-Verlag .
- Schilling , O. ( 1950 ). The Theory of Valuations . AMS Math. Surv . IV .
- Serre , J.-P . ( 1994 ). Galois Cohomology . 5ème éd. Lect. Notes Math. 5 . Berlin : Springer-Verlag .
- Tikhonov , S. V. , Van Geel , J. , Yanchevskiĭ , V. I. ( 2006 ). Pythagoras numbers of function fields of hyperelliptic curves with good reduction . Manuscripta Math. 119 ( 3 ): 305 – 322 .
- Communicated by A. Prestel.