Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Simple algebras and cohomology groups of arbitrary fields


Author: S. A. Amitsur
Journal: Trans. Amer. Math. Soc. 90 (1959), 73-112
MSC: Primary 18.00
DOI: https://doi.org/10.1090/S0002-9947-1959-0101265-7
MathSciNet review: 0101265
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] S. A. Amitsur, Generic splitting fields of central simple algebras, Ann. of Math. vol. 62 (1955) pp. 8-43. MR 0070624 (17:9d)
  • [2] -, Some results on central simple algebras, Ann. of Math. vol. 63 (1956) pp. 285-293. MR 0078976 (18:8g)
  • [3] E. Artin, Zur theorie der hyperkomplexen Zahlen, Abh. Math. Sem. Univ. Hamburg, vol. 5 (1927) pp. 245-250.
  • [4] H. Cartan and E. Eilenberg, Homological algebra, Princeton University Press, Princeton, 1956. MR 0077480 (17:1040e)
  • [5] G. Hochschild, Double vector spaces over division rings, Amer. J. Math. vol. 71 (1949) pp. 443-460. MR 0029889 (10:676a)
  • [6] -, Cohomology of restricted Lie algebras, Amer. J. Math. vol. 76 (1954) pp. 555-580. MR 0063361 (16:109a)
  • [7] -, Simple algebras with purely inseparable splitting fields of exponent $ 1$, Trans. Amer. Math. Soc. vol. 79 (1955) pp. 477-489. MR 0070961 (17:61d)
  • [8] -, Restricted Lie algebras and simple associative algebras of characteristic $ p$, Trans. Amer. Math. Soc. vol. 80 (1955) pp. 135-147. MR 0072428 (17:282d)
  • [9] N. Jacobson, Abstract derivations and Lie algebras, Trans. Amer. Math. Soc. vol. 42 (1937) pp. 206-224. MR 1501922
  • [10] -, An extension of Galois theory to non-normal and non-separable fields, Amer. J. Math. vol. 69 (1947) pp. 27-36; vol. 80 (1955) pp. 135-147.
  • [11] T. Nakayama, Non-normal Galois theory for non-commutative and non-semi-simple rings, Canad. J. Math. vol. 3 (1951) pp. 208-216. MR 0041833 (13:8b)
  • [12] -, Double vector spaces over arbitrary rings, Amer. J. Math. vol. 74 (1952) pp. 645-655.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 18.00

Retrieve articles in all journals with MSC: 18.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1959-0101265-7
Article copyright: © Copyright 1959 American Mathematical Society

American Mathematical Society