Plenary stable quasigroups

Philip Holgate

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 1, page 1-7
  • ISSN: 0010-2628

Abstract

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Some results are obtained for quasigroups in which the operation of iterated squaring always leads to stability irrespective of the initial element.

How to cite

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Holgate, Philip. "Plenary stable quasigroups." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 1-7. <http://eudml.org/doc/247269>.

@article{Holgate1991,
abstract = {Some results are obtained for quasigroups in which the operation of iterated squaring always leads to stability irrespective of the initial element.},
author = {Holgate, Philip},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasigroup identities; loop; Bernstein algebras; quasigroups; identities; iterated squaring},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Plenary stable quasigroups},
url = {http://eudml.org/doc/247269},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Holgate, Philip
TI - Plenary stable quasigroups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 1
EP - 7
AB - Some results are obtained for quasigroups in which the operation of iterated squaring always leads to stability irrespective of the initial element.
LA - eng
KW - quasigroup identities; loop; Bernstein algebras; quasigroups; identities; iterated squaring
UR - http://eudml.org/doc/247269
ER -

References

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  1. Bruck R.H., A Survey of Binary Systems, Springer-Verlag, 1966. Zbl0141.01401MR0093552
  2. Bruck R.H., Some results in the theory of quasigroups, Trans. American Math. Soc. 55 (1944), 19-52. (1944) Zbl0063.00635MR0009963
  3. Dénes J., Keedwell A.D., Latin Squares and their Applications, Akadémiai Kiadó and English Universities Press, 1974. MR0351850
  4. Holgate P., Genetic algebras satisfying Bernstein's stationarity condition, J. London Math. Soc. (2) 9 (1975), 613-623. (1975) MR0465270
  5. Mallol C., A propos des algèbres de Bernstein, Thèse, Univ. des Sciences et Techniques du Languedoc, 1989. 
  6. Marica J., Schönheim J., Incomplete diagonals of latin squares, Canadian Math. Bull. 12 (1969), 235. (1969) MR0246786
  7. Sade A., Morphismes des quasigroupes. Tables, Revista Fac. des Sciences Univ. de Lisbo a, A (2) 13 (1971-1972), 149-172. (1971-1972) MR0315037

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