About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras

J. N. Alonso Alvarez; J. M. Fernández Vilaboa; R. González Rodríguez; E. Villanueva Novoa

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2002)

  • Volume: 43, Issue: 1, page 2-18
  • ISSN: 1245-530X

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Alvarez, J. N. Alonso, et al. "About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras." Cahiers de Topologie et Géométrie Différentielle Catégoriques 43.1 (2002): 2-18. <http://eudml.org/doc/91652>.

@article{Alvarez2002,
author = {Alvarez, J. N. Alonso, Vilaboa, J. M. Fernández, Rodríguez, R. González, Novoa, E. Villanueva},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {1},
pages = {2-18},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras},
url = {http://eudml.org/doc/91652},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Alvarez, J. N. Alonso
AU - Vilaboa, J. M. Fernández
AU - Rodríguez, R. González
AU - Novoa, E. Villanueva
TI - About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2002
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 43
IS - 1
SP - 2
EP - 18
LA - eng
UR - http://eudml.org/doc/91652
ER -

References

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  1. [1] Alonso Alvarez, J.N. & Fernández Vilaboa, J.M., Inner actions and Galois H-objects in a closed symmetric category, Cahiers de Topologie et Geometrie Differentielle categoriques, XXXV-1 (1994), 271-284. Zbl0805.18008
  2. [2] Bass, M., Algebraic K-Theory, Benjamin, New York (1968). Zbl0174.30302MR249491
  3. [3] Beattie, M., A direct sum decomposition for the Brauer group of H-module algebras, J. Algebra, 43 (1976), 686-693. Zbl0342.16010MR441942
  4. [4] Caenepeel, S., Brauer groups, Hopf algebras and Galois theory, Kluwer Academic Publishers (1998) Zbl0898.16001MR1610222
  5. [5] Chase, S.U. & Sweedler, M.E., Hopf algebras and Galois theory, Lect. Notes in Math., 97 (1969). Zbl0197.01403MR260724
  6. [6] Eilenberg, S. & Kelly, G.M., Closed Categories, Proceedings in a Conference on Categorical Algebra, La Jolla1966, Springer Verlag, Berlin (1966), 421-562. Zbl0192.10604MR225841
  7. [7] Fernández Vilaboa, J.M., Grupos de Brauer y de Galois de un Algebra de Hopf en una categoría cerrada, Alxebra42, Santiago de Compostela (1985). Zbl0579.16004MR797753
  8. [8] Fernández Vilaboa, J.M., González Rodríguez, R. & Villa-Nueva Novoa, E., Exact sequences for the Galois group, Comm. in Algebra24(11) (1996), 3413-3435. Zbl0884.18010MR1405262
  9. [9] López López, M.P., Objetos de Galois sobre un algebra de Hopf finita, Alxebra25, Santiago de Compostela (1980). Zbl0427.18010MR573270
  10. [10] Pareigis B., Non Additive Ring and Module Theory IV: The Brauer Group of a Symmetric Monoidal Category, Lecture Notes in Math.549, Springer Verlag, New York (1976), 112-133. Zbl0362.18011MR498794
  11. [11] Wenninger, C.H., Corestriction of Galois algebras, J. Algebra144 (1991), 359-370. Zbl0737.16010MR1140609

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