Commutative Moufang loops and distributive Steiner quasigroups nilpotent of class 3

Tomáš Kepka

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 2, page 355-370
  • ISSN: 0010-2628

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Kepka, Tomáš. "Commutative Moufang loops and distributive Steiner quasigroups nilpotent of class 3." Commentationes Mathematicae Universitatis Carolinae 021.2 (1980): 355-370. <http://eudml.org/doc/17040>.

@article{Kepka1980,
author = {Kepka, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nilpotent loops; commutative Moufang loop; distributive Steiner quasigroup},
language = {eng},
number = {2},
pages = {355-370},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Commutative Moufang loops and distributive Steiner quasigroups nilpotent of class 3},
url = {http://eudml.org/doc/17040},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Kepka, Tomáš
TI - Commutative Moufang loops and distributive Steiner quasigroups nilpotent of class 3
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 2
SP - 355
EP - 370
LA - eng
KW - nilpotent loops; commutative Moufang loop; distributive Steiner quasigroup
UR - http://eudml.org/doc/17040
ER -

References

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  1. V. D. BELOUSOV, Osnovy těorii kvazigrup i lup, izd. "Nauka", Moskva 1967. (1967) MR0218483
  2. L. BÉNÉTEAU, Free commutative Moufang loops and anticommutative graded rings, (preprint). MR0595016
  3. G. BOL, Gewebe und Gruppen, Math. Ann. 114 (1937), 414-431. (1937) Zbl0016.22603MR1513147
  4. R. H. BRUCK, A survey of binary systems, Springer Verlag, New York - Heidelberg - Berlin 1971. (1971) MR0093552
  5. R. H. BRUCK, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60 (1946), 245-354. (1946) Zbl0061.02201MR0017288
  6. T. EVANS, Identities and relations in commutative Moufang loops, J. Alg. 31 (1974,), 508-513. (1974) Zbl0285.20058MR0348025
  7. T. KEPKA, Distributive Steiner quasigroups of order 3 5 , Comment. Math. Univ. Carolinae 19 (1978), 389-401. (1978) MR0486265
  8. S. KLOSSEK, Kommutative Spiegelungsräume, Mitt. Math. Sem. Giessen, Heft 117, Giessen 1975. (1975) Zbl0317.20043MR0407183
  9. J. P. SOUBLIN, Étude algébrique de la notion de moyenne, J. Math. Pures Appl. 50 (1971), 53-264. (1971) Zbl0215.40401MR0291342

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