References
Albert, A.A.: Structure of algebras. Am. Math. Soc. Coll. Pub. 24, Am. Math. Soc., Providence, R.I., 1961
Baeza, R.: Quadratic forms over semilocal rings. Lect. Notes Math. vol. 655. Berlin Heidelberg New York: Springer 1978
Baeza, R.: Comparingu-invariants of fields of characteristic 2. Bol. Soc. Bras. Mat.13, 105–114 (1982)
Mammone, P., Moresi, R.: A fieldk of characteristic 2 withu(k)=6. Commun. Algebra18, 1563–1567 (1990)
Mammone, P., Moresi, R., Wadsworth, A.:u-invariants of fields of characteristic 2. To appear in Math. Z.
Merkurjev, A.S.: Simple algebras over function fields of quadrics. Handwritten notes, 6pp, 1989
Moresi, R.: On a class of field admitting only cyclic extensions of prime power degree. Bol. Soc. Bras. Mat.15, 101–107 (1984)
Swan, R.:K-theory of quadric hypersurfaces. Ann. Math.122, 113–153 (1985)
Tignol, J.-P.: Réduction de l'indice d'une algèbre simple centrale sur le corps des fonctions d'une quadrique. Bull. Soc. Math. Belg. Sér. A,42, 735–745 (1990)
Author information
Authors and Affiliations
Additional information
Supported in part by the F.N.R.S.
Supported in part by the NSF. The third author would like to thank the second author and UCL for their hospitality while much of the research for this paper was carried out
Rights and permissions
About this article
Cite this article
Mammone, P., Tignol, J.P. & Wadsworth, A. Fields of characteristic 2 with prescribedu-invariants. Math. Ann. 290, 109–128 (1991). https://doi.org/10.1007/BF01459240
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01459240