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References
M. Auslander and O. Goldman, Maximal orders, Trans Amer. Math. Soc. 97 (1960), 1–24
M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409
W. Barth, Moduli of vector bundles on the projective plane. Inventiones Math. 42 (1977), 63–91
J.-L. Colliot-Thélène et J.-J. Sansuc, Fibrés quadratiques et composantes connexes réelles, Math. Ann. 244, (1979), 105–134
M.-A. Knus and M. Ojanguren, Modules and quadratic forms over polynomial algebras. Proc. Amer. Math. Soc. 66 (1977), 223–226
M.-A. Knus, M. Ojanguren and R. Parimala, Positive definite qua-quadratic bundles over the projective plane, Preprint, 1981
M.-A. Knus, M. Ojanguren and R. Sridharan, Quadratic forms and Azumaya algebras, J. Reine Angew. Math. 303/304 (1978), 231–248
M.-A. Knus and R. Parimala, Quadratic forms associated with projective modules over quaternion algebras, J. Reine Angew. Math. 318 (1980), 20–31
M.-A. Knus, R. Parimala and R. Sridharan, Non-free projective modules over H[x,y] and stable bundles over ℙ2 (C), Inventiones Math.
J. S. Milne, Etale Cohomology, Princeton University Press, 1980, Princeton
M. Ojanguren, R. Parimala and R. Sridharan, Indecomposable quadratic bundles of rank 4n over the real affine plane, Preprint, 1981
M. Ojanguren and R. Sridharan, Cancellation of Azumaya algebras, J. Algebra 18 (1971), 501–505
R. Parimala and R. Sridharan, Projective modules over polynomial rings over division rings, J. Math. Kyoto Univ. 15 (1975), 129–148
J. T. Stafford, Projective modules of polynomial extensions of division rings, Inventiones Math. 59 (1980), 105–117
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Knus, MA. (1982). Quaternionic modules over ℙ2 (ℝ). In: van Oystaeyen, F.M.J., Verschoren, A.H.M.J. (eds) Brauer Groups in Ring Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092239
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DOI: https://doi.org/10.1007/BFb0092239
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