Plenary stable quasigroups
Holgate, Philip
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 1-7 / Harvested from Czech Digital Mathematics Library

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

Publié le : 1991-01-01
Classification:  20N05
@article{116936,
     author = {Philip Holgate},
     title = {Plenary stable quasigroups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {1-7},
     zbl = {0734.20032},
     mrnumber = {1118283},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116936}
}
Holgate, Philip. Plenary stable quasigroups. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 1-7. http://gdmltest.u-ga.fr/item/116936/

Bruck R.H. A Survey of Binary Systems, Springer-Verlag, 1966. | MR 0093552 | Zbl 0141.01401

Bruck R.H. Some results in the theory of quasigroups, Trans. American Math. Soc. 55 (1944), 19-52. (1944) | MR 0009963 | Zbl 0063.00635

Dénes J.; Keedwell A.D. Latin Squares and their Applications, Akadémiai Kiadó and English Universities Press, 1974. | MR 0351850

Holgate P. Genetic algebras satisfying Bernstein's stationarity condition, J. London Math. Soc. (2) 9 (1975), 613-623. (1975) | MR 0465270

Mallol C. A propos des algèbres de Bernstein, Thèse, Univ. des Sciences et Techniques du Languedoc, 1989.

Marica J.; Schönheim J. Incomplete diagonals of latin squares, Canadian Math. Bull. 12 (1969), 235. (1969) | MR 0246786

Sade A. Morphismes des quasigroupes. Tables, Revista Fac. des Sciences Univ. de Lisbo a, A (2) 13 (1971-1972), 149-172. (1971-1972) | MR 0315037