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Lavendhomme, R.; Roisin, J. R.

Cohomologie non abelienne de structures algébriques. (French) Zbl 0503.18013

J. Algebra 67, 385-414 (1980).
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Cited in 1 Review
Cited in 32 Documents

MSC:

18G50 Nonabelian homological algebra (category-theoretic aspects)
18C10 Theories (e.g., algebraic theories), structure, and semantics

Keywords:

internal category; crossed modules; category with finite limits; equational algebraic theory; first and second cohomology
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\textit{R. Lavendhomme} and \textit{J. R. Roisin}, J. Algebra 67, 385--414 (1980; Zbl 0503.18013)
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References:

[1] Benabou, J., LES distributeurs, Se´m. math. pure n∘ 33, (1973), polycopie´
[2] Brown, R.; Spencer, C., Double groupoi¨ds and crossed modules, Cahiers topologie ge´om. differentielle, 17, 343-362, (1976) · Zbl 0344.18004
[3] Dedecker, P., Cohomologie non abe´lienne, (1965), polycopie´ · Zbl 0135.02402
[4] Dixmier, J., Homologie des anneaux de Lie, Ann. sci.E´cole norm. sup., 74, 25-83, (1957) · Zbl 0077.04301
[5] Duskin, J., Non-abelian triple cohomology: extensions and obstructions, Notices amer. math. soc., 19, A-383, (1972)
[6] Duskin, J., On the interpretation of cohomology theories definable through standard constructions, (1973), polycopie´
[7] Duskin, J., Non-abelian monadic cohomology and low dimensional obstruction theory, (), 51-59
[8] Johnstone, P., Topos theory, (1977), Academic Press · Zbl 0368.18001
[9] {\scA. Grothendieck}, “Catégories fibre´es et descente,” SGA 60-61, expose´VI, 50 pp.
[10] Lavendhomme, R., Cohomologie et extensions pre´fibre´es, (1966), polycopie´
[11] Lavendhomme, R., Cohomologie de catégoriesa‘coefficients dans une 2-cate´gorie, (), 29-32
[12] Lavendhomme, R., Cohomologiea‘coefficients dans une 2-cate´gorie, Se´m. math. pure n∘ 58, (1975), polycopie´
[13] Lavendhomme, R., Une interpre´tation de la 2-cohomologie d’une catégoriea‘coefficients dans une 2-cate´gorie, Se´m. math, pure n∘ 59, (1975), polycopie´
[14] Lavendhomme, R., Particularisations de la cohomologie de cate´gories, Se´m. math. pure n∘ 60, (1975), polycopie´
[15] Mac Lane, S., Homologie des anneaux et des modules, (), 55-80
[16] Mac Lane, S., Extensions and obstructions for rings, Illinois J. math., 2, 316-345, (1958)
[17] Mac Lane, S., Homology, (1963), Springer-Verlag Berlin · Zbl 0818.18001
[18] Mac Lane, S.; Whitehead, J.H.C., On the 3-type of a complex, (), 41-48 · Zbl 0035.39001
[19] Shukla, U., Cohomologie des alge‘bres associatives, Ann. sci.E´cole norm. sup., 78, 163-209, (1961)
[20] Van Buggenhout, H., Uitbreidingen Van monoi¨den, Dissertation doctorale, (1976), polycopie´
[21] Giraud, J., Cohomologie non abe´lienne, (1971), Springer-Verlag Berlin/New York
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