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 |
. |
Category:
|
math |
. |
MSC:
|
05A15 |
MSC:
|
20N05 |
idZBL:
|
Zbl 0482.20046 |
idMR:
|
MR647022 |
. |
Date available:
|
2008-06-05T21:09:59Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106116 |
. |
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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