Normal bases for infinite Galois ring extensions

• Autorzy: Patrik Lundström
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 79
• Numer: 2
• Strony: 235-240

Daty

wydano

1999

otrzymano

1998-06-26

poprawiono

1998-09-05

Twórcy

autor

Patrik Lundström

• Department of Mathematics, Chalmers University of Technology and the University of Göteborg, S-412 96 Göteborg, Sweden

Bibliografia

• [BH] H. Bass, Algebraic K-theory, Benjamin, 1968.
• [BN] N. Bourbaki, General Topology, Hermann, 1966.
• [C] S. U. Chase, D. K. Harrison and A. Rosenberg, Galois theory and cohomology of commutative rings, Mem. Amer. Math. Soc. 52 (1965).
• [J] N. Jacobson, Basic Algebra I, Freeman, 1980.
• [LS] S. Lang, Algebra, Addison-Wesley, 1993.
• [LH] H. W. Jr. Lenstra, A normal basis theorem for infinite Galois extensions, Indag. Math. 47 (1985), 221-228.
• [LP] P. Lundström, Self-dual normal bases in infinite Galois field extensions, Comm. Algebra 26 (1998), 4331-4341.
• [M] A. Mostowski, Eine Verallgemeinerung eines Satzes von M. Deuring, Acta Sci. Math. (Szeged) 16 (1955), 197-203.
• [NT] T. Nagahara, A note on Galois theory of commutative rings, Proc. Amer. Math. Soc. 18 (1967), 334-340.
• [NM] M. Nagata, Local Rings, Wiley, 1962.
• [R] L. Rowen, Ring Theory, Vol. I, Academic Press, 1988.
• [S] A. H. Stone, Inverse limits of compact spaces, Gen. Topology Appl. 10 (1988), 203-211.