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Title: Loop cohomology (English)
Author: Johnson, K. W.
Author: Leedham-Green, C. R.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 40
Issue: 2
Year: 1990
Pages: 182-194
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Category: math
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MSC: 18C15
MSC: 18E25
MSC: 18G99
MSC: 20N05
idZBL: Zbl 0728.20057
idMR: MR1046286
DOI: 10.21136/CMJ.1990.102372
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Date available: 2008-06-09T15:32:12Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102372
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Reference: [1] A. A. Albert: Quasigroups II.Trans. Amer. Math. Soc., 55, (1944), 401 - 419. Zbl 0063.00042, MR 0010597, 10.1090/S0002-9947-1944-0010597-1
Reference: [2] M. André: Méthode simpliciale en algèbre homologique et algèbre commutative,/.Lecture Notes in Math. No. 32, Springer-Verlag, Berlin 1967. MR 0214644
Reference: [3] M. Barr, J. Beck: Homology and standard constructions.Seminar on triples and categorical homology theory. Lecture Notes in Math. 80, 245-335, Springer, Berlin 1969. Zbl 0176.29003, MR 0258917, 10.1007/BFb0083087
Reference: [4] R. H. Bruck: An extension theory for a certain class of loops.Bull. Amer. Math. Soc., 57, (1951), 11-26. Zbl 0043.02002, MR 0039715, 10.1090/S0002-9904-1951-09430-6
Reference: [5] J. Duskin: Simplicial methods and the interpretation of "triple" cohomology.Mem. Amer. Soc. No. 163, (1975). Zbl 0376.18011, MR 0393196
Reference: [6] Eilenberg, Maclane: Algebraic cohomology groups and loops.Duke Math. ]14, (1947), 435-463. Zbl 0029.34102, MR 0021939, 10.1215/S0012-7094-47-01437-3
Reference: [7] F. W. Lawvere: Functional semantics of algebraic systems.Proc. Nat. Acad. Sci., 50, (1963), 869-872. MR 0158921, 10.1073/pnas.50.5.869
Reference: [8, 9, 10] C. R. Leedham-Green: Homology in varieties of groups І-III.Trans. Amer. Math. Soc.,762 (1971), 1-33.
Reference: [11] C. R. Leedham-Green, T. C. Hurley: Homology in varieties of groups IV.Trans. Amen Math. Soc., 170 (1972), 293-303. Zbl 0279.18012, MR 0306353, 10.1090/S0002-9947-1972-0306353-4
Reference: [12] C. R. Leedham-Green, S. Mckay: Baer-invariants, isologism, varietal laws and homology.Acta Mathematica, 137 (1976), 99-150. Zbl 0364.20036, MR 0435250, 10.1007/BF02392415
Reference: [13] H. Niederreiter, K. Robinson: Bol loops of order $pq$.Math. Proc. Camb. Phil. Soc. 89, (1981), 241-256. Zbl 0463.20050, MR 0600241, 10.1017/S030500410005814X
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