Torsors and special extensions

Maria J. Vale

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1985)

  • Volume: 26, Issue: 1, page 63-90
  • ISSN: 1245-530X

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Vale, Maria J.. "Torsors and special extensions." Cahiers de Topologie et Géométrie Différentielle Catégoriques 26.1 (1985): 63-90. <http://eudml.org/doc/91357>.

@article{Vale1985,
author = {Vale, Maria J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {torsors; categories of interest; cohomology groups; cotriple; special extensions; injective modules; long exact sequence},
language = {eng},
number = {1},
pages = {63-90},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Torsors and special extensions},
url = {http://eudml.org/doc/91357},
volume = {26},
year = {1985},
}

TY - JOUR
AU - Vale, Maria J.
TI - Torsors and special extensions
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1985
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 26
IS - 1
SP - 63
EP - 90
LA - eng
KW - torsors; categories of interest; cohomology groups; cotriple; special extensions; injective modules; long exact sequence
UR - http://eudml.org/doc/91357
ER -

References

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  1. 1 M. André, Méthode simpliciale en Algèbre homologique et Algèbre commutative, Lecture Notes in Math.32, Springer (1967). Zbl0154.01402MR214644
  2. 2 J.M. Barja & M.J. Vale, Crossed modules and cohomology in categories of interest, Preprint, 1983. 
  3. 3 M. Barr, Exact categories, Lecture Notes in Math.236. Springer (1971), 1-119. Zbl0223.18010
  4. 4 M. Barr& J. Beck, Acyclic models and triples, Proc. Conf. on Categorical Algebra (La Jolla, Springer (1966), 336-343. Zbl0201.35403MR245649
  5. 5 J. Beck, Triples, Algebras and Cohomology, Ph.D. Thesis, Columbia Univ., 1967. Zbl1022.18004
  6. 6 K.S. Brown, Cohomology of groups, Springer, Berlin, 1982. Zbl0584.20036MR672956
  7. 7 J.L. Bueso, Invariantes de Baer en una categoria de Kurosh (Thesis), Alxebra30, Univ. Santiago de Compostela, 1980. Zbl0451.18005MR601946
  8. 8 C. Chevalley& S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. A.M.S.63 (1948), 85-124. Zbl0031.24803MR24908
  9. 9 J.W. Duskin, Simplicial methods and the interpretation of "triple" cohomology, Mem. A.M.S.3 (1975), 2, n° 163. Zbl0376.18011MR393196
  10. 10 J.W. Duskin, Higher dimensional torsors and the cohomology of topoi: the abelian theory, Lecture Notes in Math.755, Springer (1979). Zbl0444.18014MR555549
  11. 11 A. Frohlich, Baer-invariants of algebras, Trans. A.M.S.109 (1963), 221-244. Zbl0122.25702MR158920
  12. 12 J. Furtado-Coelho,Homology and generalized Baer-invariants, J. Algebra40 (1976), 596-609. Zbl0372.20037MR414740
  13. 13 J. Furtado-Coelho, Homology and V-central series, I, StudiaSci. Math. Hungar.14 (1979), 375-380. Zbl0502.20029MR685904
  14. 14 M. Gerstenhaber, On the deformation of rings and lgebras, II, Ann. of Math.84 (1966), 1-19. Zbl0147.28903MR207793
  15. 15 P.G. Glenn, Realization of cohomology classes in arbitrary exact categories, J. Pure Appl. Algebra25 (1982), 33-105. Zbl0487.18015MR660389
  16. 16 A.R. Grandjean& L. Franco, Sucesión exacta de cinco términos, Collect. Math.33 (1982), 67-75. Zbl0514.20036MR684095
  17. 17 D.K. Harrison, Commutative algebras and cohomology, Trans. A.M.S.104 (1962), 191-204. Zbl0106.25703MR142607
  18. 18 D.F. Holt, An interpretation of the cohomology groups Hn(G, M), J. Algebra60 (1979), 307-318. Zbl0699.20040MR549932
  19. 19 J. Huebschmann, Crossed n-fold extensions of groups and cohomology, Comm. Math. Helv.55 (1980), 302-313. Zbl0443.18019MR576608
  20. 20 C. Kassel& J.-L. Loday, Extensions centrales d'algèbres de Lie, Ann. Inst. Fourier32, 4 (1982), 119-142. Zbl0485.17006MR694130
  21. 21 S. Lichtenbaum& M. Schlessinger, The cotangent complex of a morphism, Trans. A.M.S.128 (1967), 41-70. Zbl0156.27201MR209339
  22. 22 J.-L. Loday, Cohomologie et groupe deSteinberg relatifs, J. Algebra54 (1978), 178-202. Zbl0391.20040MR511461
  23. 23 A.S.-T. Lue, Cohomology of algebras relative to a variety, Math. Z.121 (1971), 220-232. Zbl0211.53404MR313365
  24. 24 A.S.-T. Lue, Cohomology of groups relative to a variety, J. Algebra69 (1981), 155-174. Zbl0468.20044MR613866
  25. 25 S. Maclane, Homology, Springer, 1975. MR349792
  26. 26 G. Orzech, Obstruction theory in algebraic categories, I, II, J. Pure Appl. Algebra2 (1972), 287-314 and 315-340. Zbl0251.18017MR323859
  27. 27 D. Quilien, Homotopical Algebra, Lecture Notes in Math.43, Springer (1967). Zbl0168.20903MR223432
  28. 28 D. Quillen, On the (co-)homology of commutative rings, Proc. Symp. in Pure Math. XVII, A.M.S.Providence (1970), 65-87. Zbl0234.18010MR257068
  29. 29 J.G. Ratcliffe, Crossed extensions, Trans. A.M.S.257 (1980), 73-89. Zbl0452.20054MR549155
  30. 30 C. Rodriguez, Invariantes de Baer y Cohomologia en variedades de Ω-grupos (Thesis), Alxebra28, Univ. Santiago de Compostela (1980). Zbl0455.18003
  31. 31 N. Shimada, H. Uehara, F. Brenneman& A. Iwai, Triple cohomalogy of algebras and two term extensions, Publ. RIMS, Kyoto Univ.5 (1969), 267-285. Zbl0259.18017MR260847
  32. 32 M.J. Vale, Torsores, Extensiones y Cohomologia(Thesis), Alxebra37 (1982). Zbl0512.18007
  33. 33 J.H.C. Whitehead, Combinatorial homotopy, II, Bull. A.M.S.55 (1949), 453-496. Zbl0040.38801MR30760
  34. 34 N. Yoneda, On Ext and exact sequences, J. Fac. Sci.Tokyo, I, 8 (1960), 507-576. Zbl0163.26902MR225854

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