| Title:
|
Logarithmetics and quasigroup structure (English) |
| Author:
|
Holgate, P. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
293-304 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A07 |
| MSC:
|
17A99 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 0827.20081 |
| idMR:
|
MR1281024 |
| DOI:
|
10.21136/CMJ.1994.128462 |
| . |
| Date available:
|
2010-02-23T23:09:18Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128462 |
| . |
| Reference:
|
[1] R.H. Bruck: Some results in the theory of quasigroups.Trans. American Math. Soc. 5 (1944), 19–52. Zbl 0063.00635, MR 0009963 |
| Reference:
|
[2] R.H. Bruck: Analogues of the ring of rational integers.Proc. American Math. Soc. 6 (1955), 50–57. Zbl 0064.03002, MR 0069805, 10.1090/S0002-9939-1955-0069805-6 |
| Reference:
|
[3] R.H. Bruck: A Survey of Binary Systems.Springer Verlag, 1958. Zbl 0081.01704, MR 0093552 |
| Reference:
|
[4] R.H. Bruck: What is a loop?.Studies in Modern Algebra, A.A. Albert (ed.), Math. Assn. of America, 1963, pp. 59–99. Zbl 0199.05202 |
| Reference:
|
[5] J. Denes & A. D. Keedwell: Latin Squares and their Applications.English Universities Press, 1974. MR 0351850 |
| Reference:
|
[6] I. M. H. Etherington: Nonassociative arithmetics.Proc. Royal Soc. Edinburgh 62 (1939), 442–453. MR 0029898 |
| Reference:
|
[7] T. Evans: Some remarks on a paper of R.H. Bruck.Proc. American Math. Soc. 7 (1956), 211–220. MR 0078982, 10.1090/S0002-9939-1956-0078982-3 |
| Reference:
|
[8] T. Evans: Non-associative number theory.American Math. Monthly 64 (1957), 299–309. MR 0093534, 10.2307/2309589 |
| Reference:
|
[9] P. Holgate: Plenary stable quasigroups.Comment. Math. Univ. Carolinæ 32 (1991), 1–8. Zbl 0734.20032, MR 1118283 |
| Reference:
|
[10] H. Popova: Logarithmétiques des quasigroupes finis.Comptes Rendus Acad. Sci. Paris 234 (1953), 1936–1937. |
| Reference:
|
[11] H. Popova: Sur les quasigroupes dont les logarithmétiques sont groupes.ibid. 2582–2583. MR 0049179 |
| Reference:
|
[12] H. Popova: Sur les vecteurs dérivés des quasigroupes unis.ibid. 235 (1953), 1360–1362. MR 0051220 |
| Reference:
|
[13] H. Popova: Logarithmétiques réductibles de quasigroupes.ibid. 1589–1591. |
| Reference:
|
[14] H. Popova: L’isotopie des logarithmétiques des quasigroupes finis.ibid. 236 (1953), 769–771. MR 0053927 |
| Reference:
|
[15] H. Popova: Sur la logarithmétique d’une boucle.ibid. 1220–1222. Zbl 0048.01207, MR 0053928 |
| Reference:
|
[16] H. Popova: Logarithmetics of finite quasigroups. I.Proc. Edinburgh Math. Soc. (2) 9 (1954), 74–81. Zbl 0056.25501, MR 0066370, 10.1017/S0013091500021325 |
| Reference:
|
[17] H. Popova: Logarithmetics of finite quasigroups. II.ibid. (1956), 109–115. Zbl 0072.25501, MR 0081294 |
| . |
