Non-abelian cohomology of associative algebras. The $9$-term exact sequence

 Access to full text

 Full (PDF)

1. 1 Andre M., Homologie des algèbres commutatives, Springer1974. Zbl0222.13017MR352220
2. 2 Aznar E.R., Cohomologia no abeliana en categorias de interes, Alxebra33 (1983). Zbl0486.18017MR650975
3. 3 Barr M., Skula cohomology and triples, J. of Algebra5 (1967), 222-231. Zbl0164.01502
4. 4 Barr M. & Beck J., Homology and standard construction, Lecture Notes in Math.80, Springer (1969), 357-375. Zbl0172.02201MR258917
5. 5 Bullejos M., Cohomologia no abeliano, la sucesion exacta larga, Tesis, Univ. Granada, 1985. 
6. 6 Brown R., Some non-abelian methods in homotopy theory and homological theory, Univ. C.N. W.1984. Zbl0558.55001
7. 7 Cegarra A.M. & Aznar E.R., An exact sequence in the first variable for the torsor cohomology. The 2-dimensional theory of obstructions, J. Pure & Appl. Algebra39 (1988), 197-250. Zbl0587.18007MR821890
8. 8 Cegarra A.M. & Bullejos M., n-cocycles non-abéliens, C. R. A. S.Paris298 I, n° 17 (1984), 401-404. Zbl0573.55006MR765260
9. 9 Cegarra A.M., Bullejos M. & Garzon A., Higher dimensional obstruction theory in algebraic categories, J. Pure & Appl. Algebra49 (1987), 43-102. Zbl0634.18004MR920515
10. 10 Cegarra A.M., & Garzon A., La principalité dans la théorie de l'obstruction de dimension 3. Un allongement de la suite de cohomologie non-abélienne des groupes, C. R. A. S. Paris302, I, n° 15 (1986), 523-526. Zbl0599.18008MR845639
11. 11 Dedecker P., Sur la n-cohomologie non-abélienne, C. R. A. S. Paris260, 1 (1965), 4137-4139. Zbl0135.02402MR179224
12. 12 Dedecker P., Cohomologie non-abélienne, Fac. Sc. Lille1965. 
13. 13 Dedecker P., Three dimensional non-abelian cohomology for groups. Lecture Notes in Math.92, Springer (1969), 32-64. Zbl0249.18027MR263894
14. 14 Dedecker P., Les foncteurs Ext, H2 et H2 non-abéliens, C. R. A. S. Paris258 (1964), 1117-1120. Zbl0124.01401MR168613
15. 15 Dedecker P., Sur la cohomologie non-abélienne I and II, Canad. J. of Math. (1960, 1963) . MR111021
16. 16 Dedecker P. & Lue A.S.T.A non-abelian 2-dimensional cohomology for associative algebras, Bull. A.M.S.72 (1966), 1044-1050. Zbl0156.25903MR210754
17. 17 Duskin J., Simplicial methods and the interpretation of triple cohomology, MemoirA.M.S.3, 2 (1975), 163. Zbl0376.18011MR393196
18. 18 Duskin J., Non-abelian monadic cohomology and low dimensional obstruction theory, Math. Forschung Ins. Oberwolfach Tagungsbericht33 (1976). 
19. 19 Duskin J., An outline of non-abelian cohomology in a topos I. Cahiers Top. et Géom. Diff.XXIII (1982), 165-191. Zbl0496.18009MR667397
20. 20 Ehresmann C., Cohomologie non-abélienne, C.B.R.M.1964; reprinted in Charles Ehresmann: Œuvres completes et commentées III-2, Amiens1981. 
21. 21 Frenkel J., Cohomologie non-abélienne, Bull. Soc. Math. France85 (1957), 135-238. Zbl0082.37702MR98200
22. 22 Gerstenhaber M., On the deformation of rings and algebras II. Ann. of Math.84 (1966). Zbl0147.28903MR207793
23. 23 Glenn P., Realization of cohomology classes in arbitrary exact categories, J. Pure & Appl. Algebra25, 1 (1982), 33-107. Zbl0487.18015MR660389
24. 24 Grothendieck A., Catégories fibrées et descente, S.G.A.. ExposéVI (1960-61), 50 pp. 
25. 25 Higgins P.J.Notes on categories and groupoids, Van Nostrand1972. Zbl0226.20054MR327946
26. 26 Lavendhomme R. & Roisin J.R., Cohomologie non-abélienne de structures algébriques, J. of Algebra67 (1980), 385- 414. Zbl0503.18013MR602071
27. 27 Lue A.S.T., Non-abelian cohomology of associative algebras, J. Math. Oxford (2) 19 (1968), 159-180. Zbl0185.09304MR248199
28. 28 Mac Lane S., Extensions and obstructions for rings, Illinois J. of Math.2 (1958), 316-345. Zbl0081.03303MR98773
29. 29 May J.P., Simplicial objects in algebraic Topology, Van Nostrand1976. Zbl0165.26004MR222892
30. 30 Shukla u., Cohomologie des algèbres associatives, Ann. Sci. Ecole Norm. Sup78 (1961), 163-209. Zbl0228.18005MR132769