Logarithmetics and quasigroup structure

Philip Holgate

Czechoslovak Mathematical Journal (1994)

  • Volume: 44, Issue: 2, page 293-304
  • ISSN: 0011-4642

How to cite

top

Holgate, Philip. "Logarithmetics and quasigroup structure." Czechoslovak Mathematical Journal 44.2 (1994): 293-304. <http://eudml.org/doc/31409>.

@article{Holgate1994,
author = {Holgate, Philip},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasigroups; logarithmetics},
language = {eng},
number = {2},
pages = {293-304},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Logarithmetics and quasigroup structure},
url = {http://eudml.org/doc/31409},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Holgate, Philip
TI - Logarithmetics and quasigroup structure
JO - Czechoslovak Mathematical Journal
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 2
SP - 293
EP - 304
LA - eng
KW - quasigroups; logarithmetics
UR - http://eudml.org/doc/31409
ER -

References

top
  1. Some results in the theory of quasigroups, Trans. American Math. Soc. 5 (1944), 19–52. (1944) Zbl0063.00635MR0009963
  2. 10.1090/S0002-9939-1955-0069805-6, Proc. American Math. Soc. 6 (1955), 50–57. (1955) Zbl0064.03002MR0069805DOI10.1090/S0002-9939-1955-0069805-6
  3. A Survey of Binary Systems, Springer Verlag, 1958. (1958) Zbl0081.01704MR0093552
  4. What is a loop?, Studies in Modern Algebra, A.A. Albert (ed.), Math. Assn. of America, 1963, pp. 59–99. (1963) Zbl0199.05202
  5. Latin Squares and their Applications, English Universities Press, 1974. (1974) MR0351850
  6. Nonassociative arithmetics, Proc. Royal Soc. Edinburgh 62 (1939), 442–453. (1939) MR0029898
  7. 10.1090/S0002-9939-1956-0078982-3, Proc. American Math. Soc. 7 (1956), 211–220. (1956) MR0078982DOI10.1090/S0002-9939-1956-0078982-3
  8. 10.2307/2309589, American Math. Monthly 64 (1957), 299–309. (1957) MR0093534DOI10.2307/2309589
  9. Plenary stable quasigroups, Comment. Math. Univ. Carolinæ 32 (1991), 1–8. (1991) Zbl0734.20032MR1118283
  10. Logarithmétiques des quasigroupes finis, Comptes Rendus Acad. Sci. Paris 234 (1953), 1936–1937. (1953) 
  11. Sur les quasigroupes dont les logarithmétiques sont groupes, ibid. 2582–2583. MR0049179
  12. Sur les vecteurs dérivés des quasigroupes unis, ibid. 235 (1953), 1360–1362. (1953) MR0051220
  13. Logarithmétiques réductibles de quasigroupes, ibid. 1589–1591. 
  14. L’isotopie des logarithmétiques des quasigroupes finis, ibid. 236 (1953), 769–771. (1953) MR0053927
  15. Sur la logarithmétique d’une boucle, ibid. 1220–1222. Zbl0048.01207MR0053928
  16. 10.1017/S0013091500021325, Proc. Edinburgh Math. Soc. (2) 9 (1954), 74–81. (1954) Zbl0056.25501MR0066370DOI10.1017/S0013091500021325
  17. Logarithmetics of finite quasigroups. II, ibid. (1956), 109–115. (1956) Zbl0072.25501MR0081294

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.