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Title: A note on the number of associative triples in finite commutative Moufang loops (English)
Author: Kepka, Tomáš
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 22
Issue: 4
Year: 1981
Pages: 745-753
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Category: math
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MSC: 05A15
MSC: 20N05
idZBL: Zbl 0482.20046
idMR: MR647022
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Date available: 2008-06-05T21:09:59Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106116
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Reference: [1] L. BENETEAU: Une classe particulière de matroides parfaits.Ann. Discr. Math. 8 (1980), 223- 232. Zbl 0445.05037, MR 0597178
Reference: [2] L. BENETEAU: Free commutative Moufang loops and anticommutative gradede rings.J. Alg. 67 (1980), 1-35. MR 0595016
Reference: [3] L. BENETEAU J. LACARE: Groupes d'automorphismes des boucles de Moufang commutatives.Europ. J. Comb. 1 (1980), 299-309. MR 0595928
Reference: [4] G. BOL: Gewebe und Gruppen.Math. Ann. 114 (1937), 414-431. Zbl 0016.22603, MR 1513147
Reference: [5] R. H. BRUCK: A survey of binary systems.Springer Verlag 1971. MR 0093552
Reference: [6] R. H. BRUCK: An open question concerning Moufang loops.Arch. Math. 10 (1959), 419-421. Zbl 0089.24902, MR 0144996
Reference: [7] M. DEZA: Finite commutative Moufang loops, related matroids and association schemes.Proc. Conf. Comb., Arcata, California 1979, 3-15. MR 0593892
Reference: [8] T. EVANS: Identities and relations in commutative Moufang loops.J. Alg. 31 (1974), 508-513. Zbl 0285.20058, MR 0348025
Reference: [9] T. KEPKA P. NĚMEC: Commutative Moufang loops and distributive groupoids of small orders.(to appear). MR 0631607
Reference: [10] K. KOZIOL: The extensions of commutative Moufang loops of period $3$.Pr. Nauk. Uniw. Slask. Pr. Mat. 10 (1979), 86-93. MR 0594931
Reference: [11] R. ROTH D. K. RAY-CHAUDHURI: Commutative Moufang $3$-loops.Not. Amer. Math. Soc. 84 (1978).
Reference: [12] A. F. RUSSU: O mnogoobrazijach porožděnych konečnoj komutativnoj lupoj Mufang.Mat. Issled. 51 (1979), 120-129. MR 0544339
Reference: [13] I. I. SANDU: O složných associatorach komutativnoj lupy Mufang.Mat. Issled. 51 (1979), 130-144.
Reference: [14] J. D. H. SMITH: Exterior algebra representations of commutative Moufang loops.Arch. Math. 34 (1980), 393-398. Zbl 0447.20049, MR 0593764
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