Keywords
- Basic Group
- Division Algebra
- Division Ring
- Central Simple Algebra
- Finite Abelian Group
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References for Section V
A.A. ALBERT, New Results on Associative Division Algebras, J. of Algebra 5 (1967), pp. 110–132.
I.N. HERSTEIN, Noncommutative Rings, The Carus Math. Monographs 15, Math. Assoc. Amer. 1968.
K. HOECHSMAN, Algebras Split by a Given Purely Inseparable Field, Proc. Amer. Math. Soc. 14 (1963), pp. 768–776.
W. KUYK, P. MULLENDER, On the Invariants of Finite Abelian Groups, Indag. Math. 25, Nr. 2, 1963.
W. KUYK, Generic Construction of a Class of Non Cyclic Division Algebras, J. Pure and Applied Algebra 2 (1972), pp. 121–131.
M.E. SWEEDLER, Structure of Inseparable Extensions, Ann. of Math. 87 (1968), p. 401.
F. VAN OYSTAEYEN, Generic Division Algebras, Bull. Soc. Math. Belg., XXV, 1973, pp. 259–285.
F. VAN OYSTAEYEN, The p-component of the Brauer Group of a Field of Characteristic p≠0, Indag. Math. 36, Nr. 1, 1974, pp. 67–76.
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© 1975 Springer-Verlag
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van Oystaeyen, F.M.J. (1975). Application: The symmetric part of the brauer group. In: Prime Spectra in Non-Commutative Algebra. Lecture Notes in Mathematics, vol 444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068140
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DOI: https://doi.org/10.1007/BFb0068140
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