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Kummer subfields of Malcev-Neumann division algebras

Bibliographic reference Tignol, Jean-Pierre ; Amitsur, Shimshon A.. Kummer subfields of Malcev-Neumann division algebras. In: Israel Journal of Mathematics, Vol. 50, no. 1-2, p. 114-144 (1985)
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  1. A. A. Albert,A note on normal division algebras of prime degree, Bull. Am. Math. Soc.44 (1938), 649–652.
  2. A. A. Albert,Structure of Algebras, Am. Math. Soc. Coll. Pub. 24, Providence, R.I., 1961.
  3. S. A. Amitsur,On central division algebras, Isr. J. Math.12 (1972), 408–420.
  4. Amitsur S. A., Division algebras. A survey, 10.1090/conm/013/685935
  5. M. Hall,The Theory of Groups, Macmillan, New York, 1959.
  6. Jacobson Nathan, PI-Algebras, ISBN:9783540071433, 10.1007/bfb0070021
  7. N. Jacobson,Basic Algebra II, Freeman, San Francisco, 1980.
  8. Mac Lane Saunders, Homology, ISBN:9783540586623, 10.1007/978-3-642-62029-4
  9. C. Miller,The second homology group of a group, relations among commutators, Proc. Am. Math. Soc.3 (1952), 588–595.
  10. B. H. Neumann,On ordered division rings, Trans. Am. Math. Soc.66 (1949), 202–252.
  11. G. de Rham,Sur l’analysis situs des variétés à n dimensions, J. Math. Pures Appl.10 (1931), 115–200.
  12. P. Ribenboim,Théorie des valuations, Presses Univ. Montréal, Montréal, 1968.
  13. L. Risman,Cyclic algebras, complete fields and crossed products, Isr. J. Math.28 (1977), 113–128.
  14. L. Rowen and D. Saltman,Dihedral algebras are cyclic, Proc. Am. Math. Soc.84 (1982), 162–164.
  15. D. Saltman,Splittings of cyclic p-algebras, Proc. Am. Math. Soc.62 (1977), 223–228.
  16. D. Saltman,Noncrossed product p-algebras and Galois p-extensions, J. Algebra52 (1978), 302–314.
  17. Schilling O., The Theory of Valuations, ISBN:9780821815045, 10.1090/surv/004
  18. J.-P. Tignol,Produits croisés abéliens, J. Algebra70 (1981), 420–436.
  19. J.-P. Tignol and S. A. Amitsur,Totally ramified splitting fields of central simple algebras over Henselian fields, J. Algebra, to appear.
  20. J.-P. Tignol and S. A. Amitsur,Symplectic modules, in preparation.
  21. C. T. C. Wall,Quadratic forms on finite groups, and related topics, Topology2 (1963), 281–298.