Autotopies of quasigroups and of associative systems

Albert Sade

Archivum Mathematicum (1968)

  • Volume: 004, Issue: 1, page 1-23
  • ISSN: 0044-8753

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Sade, Albert. "Autotopies des quasigroupes et des systèmes associatifs." Archivum Mathematicum 004.1 (1968): 1-23. <http://eudml.org/doc/15829>.

@article{Sade1968,
author = {Sade, Albert},
journal = {Archivum Mathematicum},
language = {fre},
number = {1},
pages = {1-23},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Autotopies des quasigroupes et des systèmes associatifs},
url = {http://eudml.org/doc/15829},
volume = {004},
year = {1968},
}

TY - JOUR
AU - Sade, Albert
TI - Autotopies des quasigroupes et des systèmes associatifs
JO - Archivum Mathematicum
PY - 1968
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 004
IS - 1
SP - 1
EP - 23
LA - fre
UR - http://eudml.org/doc/15829
ER -

References

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  1. Adrian A. Albert, Quasigroups I, Trans. Amer. Math. Soc. 54, (1943), 507 519. (1943) MR0009962
  2. Antonio Almeida Costa, Cours d'Algèbre Générale, I, Edit. Fundaçâo Calouste Gulbenkian, Lisboa, 1964. (1964) MR0232628
  3. Rafael Artzy, Crossed-inverse and related loops, Trans. Amer. Math. Soc. 91, (1959), 480--492. (1959) MR0106958
  4. Reinhold Baer, Zur Einordnung der Theorie der Mischgruppen in die Gruppentheorie, Sitz. Heidelberger Akad. d. Wissenschaften, (1928), 3-18. (1928) 
  5. B. Д. Белоусов, (Belousov), Луды с ядром индекса два, Izdat. ,,Karta Moldovenjaske". Kishinev (1965), 11-21. (1965) Zbl0256.20095
  6. B. Д. Белоусов, (Belousov), Ocновы теории квазигруп и лун, Moscou 1967. (1967) 
  7. Otakar Borůvka, Grundlagen der Gruppoid- und Gruppentheorie, Berlin, 1960. (1960) MR0117267
  8. H. Brandt, Verallgemeinerung des Gruppenbegriffs, Math. Ann. 96, (1926), 360-366. (1926) 
  9. Richard H. Bruck, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60, (1946), 245-354. (1946) MR0017288
  10. Richard H. Bruck, A Survey of binary Systems, Berlin, 1958. (1958) MR0093552
  11. Richard H. Bruck, Some Theorems on Moufang Loops, Math. Zeitschr. 73, (1960), 59-78. (1960) MR0125895
  12. Maria Hasse, Lothar Michler, Über die Einbettbarkeit von Kategorien in Gruppoide, Math. Nachr. 25 (1963) 169-177. (1963) MR0153768
  13. Hans-Jürgen Hoehnke, Zur Theorie der Gruppoide, I à IX, Math. Nachr. 24, (1962), 137-168 et suivants. (1962) MR0160842
  14. Alfred Loewy, Über abstrakt definierte Transmutationssysteme oder Mischgruppen, Journ. Reine Angew. Math. 157, (1927) 239-254. (1927) 
  15. Lothar Michler, Über die Einbettbarkeit spezieller Kategorien in Brandtsche Gruppoide, Wiss. Z. Hochsch. Sch. Magdeburg, 5 (1961), 21-27. (1961) MR0138698
  16. J. Marshall Osborn, Loops with the weak inverse property, Pacific J. Math. 10 (1960), 295-304. (1960) MR0111800
  17. Willi Rinow, Über die Vervollständigung induktiver Gruppoide, Math. Nachr., 25 (1963), 199-222. (1963) MR0153769
  18. Albert J. V. Sade, Quasigroupes obéissant à certaines lois, Rev. Fac. Sci.Univ. Istanbul, Ser. A, 22 (1957), 151-184. (1957) MR0106253
  19. Albert J. V. Sade, Quelques remarques sur l'isomorphisme et l'automorphisme des quasigroupes, Abhand. Math. Sem. Univ. Hamburg, 22 (1958), 84-91. (1958) MR0093553
  20. Albert J. V. Sade, Isomorphisme d'Hypergroupoides isotopes, Pacific J. Math. 9, (1959), 583-584. (1959) MR0108548
  21. Albert J. V. Sade, Theorie des systèmes demosiens de groupoides, Pacific J. Math. 10, (1960), 625-660. (1960) MR0138575
  22. Albert J. V. Sade, Quasigroupes isotopes, autotopies d'un groupe, Ann. Soc. Sci. Bruxelles, 81, (1967), 231-239. (1967) MR0237697
  23. Hans J. Zassenhaus, The Theory of Groups, New York, (1956). (1956) 

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