Groups of simple algebras

Moss E. Sweedler

Publications Mathématiques de l'IHÉS (1974)

  • Volume: 44, page 79-189
  • ISSN: 0073-8301

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Sweedler, Moss E.. "Groups of simple algebras." Publications Mathématiques de l'IHÉS 44 (1974): 79-189. <http://eudml.org/doc/103936>.

@article{Sweedler1974,
author = {Sweedler, Moss E.},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {79-189},
publisher = {Institut des Hautes Études Scientifiques},
title = {Groups of simple algebras},
url = {http://eudml.org/doc/103936},
volume = {44},
year = {1974},
}

TY - JOUR
AU - Sweedler, Moss E.
TI - Groups of simple algebras
JO - Publications Mathématiques de l'IHÉS
PY - 1974
PB - Institut des Hautes Études Scientifiques
VL - 44
SP - 79
EP - 189
LA - eng
UR - http://eudml.org/doc/103936
ER -

References

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  1. [1] S. AMITSUR, Simple algebras and cohomology groups of arbitrary fields, Trans. Amer. Math. Soc., 90 (1959), 73-112. Zbl0222.18018MR21 #78
  2. [2] M. AUSLANDER and O. GOLDMAN, The Brauer group of a commutative ring, Trans. Amer. Math. Soc., 97 (1960), 367-409. Zbl0100.26304MR22 #12130
  3. [3] N. BOURBAKI, Eléments de Mathématique. Algèbre commutative, Hermann, chap. I. Zbl0205.34302
  4. [4] N. BOURBAKI, Eléments de Mathématique. Algèbre commutative, Hermann, chap. 3-4. Zbl0238.13002
  5. [5] H. CARTAN and S. EILENBERG, Homological Algebra, Princeton University Press (1956). Zbl0075.24305MR17,1040e
  6. [6] S. U. CHASE, D. K. HARRISON, Alex ROSENBERG, Galois theory and cohomology of commutative rings, Memoirs of the Amer. Math. Soc., 52 (1965). Zbl0143.05902MR33 #4118
  7. [7] Jean DIEUDONNÉ, La théorie de Galois des anneaux simples et semi-simples, Commentarii Mathematici Helvetici, 21 (1948), 154-184. Zbl0041.16302MR9,563d
  8. [8] A. GROTHENDIECK, Eléments de géométrie algébrique, IV, part 4, Publ. math. I.H.E.S., 32 (1967). 
  9. [9] R. G. HEYNEMAN and M. E. SWEEDLER, Affine Hopf Algebras, J. of Algebra, 13 (1969), 192-241. Zbl0203.31601MR39 #6876
  10. [10] G. HOCHSCHILD, Simple algebras with purely inseparable splitting fields of exponent I, Trans. Amer. Math. Soc., 79 (1955), 477-489. Zbl0065.01902MR17,61d
  11. [11] N. JACOBSON, Lectures in abstract algebra, vol. III, Van Nostrand, Princeton (1964). 
  12. [12] John C. McCONNELL and MOSS E. SWEEDLER, Simplicity of smash products, Proc. London Math. Soc., 23 (1971), 251-266. Zbl0221.16009MR44 #6795
  13. [13] H. OSBORN, Modules of differentials, II. Math. Annalen, 175 (1968), 146-158. Zbl0156.04302MR36 #3268
  14. [14] G. S. RINEHART, Differential forms of general commutative algebras, Trans. Amer. Math. Soc., 108 (1963), 195-222. Zbl0113.26204MR27 #4850
  15. [15] A. ROSENBERG and D. ZELINSKY, On Amitsur's complex, Trans. Amer. Math. Soc., 97 (1960), 327-356. Zbl0102.02804MR22 #12129
  16. [16] M. E. SWEEDLER, Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc., 133 (1968), 205-239. Zbl0164.03704MR37 #283
  17. [17] M. E. SWEEDLER, Hopf algebras, New York, W. A. Benjamin, 1969. Zbl0194.32901
  18. [18] M. E. SWEEDLER, Multiplication alteration by two-cocycles, Ill. J. Math., 15 (1971), 302-323. Zbl0216.07002MR44 #5348

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