Historical notes on loop theory
Commentationes Mathematicae Universitatis Carolinae (2000)
- Volume: 41, Issue: 2, page 359-370
- ISSN: 0010-2628
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topPflugfelder, Hala Orlik. "Historical notes on loop theory." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 359-370. <http://eudml.org/doc/248577>.
@article{Pflugfelder2000,
abstract = {This paper deals with the origins and early history of loop theory, summarizing the period from the 1920s through the 1960s.},
author = {Pflugfelder, Hala Orlik},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasigroup theory; loop theory; history; quasigroup theory; loop theory; history},
language = {eng},
number = {2},
pages = {359-370},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Historical notes on loop theory},
url = {http://eudml.org/doc/248577},
volume = {41},
year = {2000},
}
TY - JOUR
AU - Pflugfelder, Hala Orlik
TI - Historical notes on loop theory
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 359
EP - 370
AB - This paper deals with the origins and early history of loop theory, summarizing the period from the 1920s through the 1960s.
LA - eng
KW - quasigroup theory; loop theory; history; quasigroup theory; loop theory; history
UR - http://eudml.org/doc/248577
ER -
References
top- Aczél J., Quasigroups, nets, and nomograms, Adv. in Math. 1 (1965), MR 33 (1967). (1965) MR0193174
- Albert A.A., Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), MR 5 (1944). (1943) Zbl0063.00039MR0009962
- Albert A.A., Quasigroups. II, Trans. Amer. Math. Soc. 55 (1944), MR 6 (1945). (1944) Zbl0063.00042MR0010597
- Artzy R., Isotopy and parastrophy of quasigroups, Proc. Amer. Math. Soc. 14 (1963). (1963) Zbl0108.25801MR0147574
- Belousov V.D., Foundations of the Theory of Quasigroups and Loops, Nauka, 1967, MR 36 (1968). MR0218483
- Baer R., Homogeneity of projective planes, Amer. J. Math. 64 (1942). (1942) Zbl0060.32207MR0005629
- Blaschke W., Bol G., Geometrie der Gewebe, Springer-Verlag, 1938. Zbl0020.06701
- Bol G., Gewebe und Gruppen, Math. Ann. 114 (1937). (1937) Zbl0016.22603MR1513147
- Bruck R.H., Some results in the theory of quasigroups, Trans. Amer. Math. Soc. 56 (1944), MR 6 (1945). (1944) Zbl0063.00635MR0009963
- Bruck R.H., Contributions to the Theory of Loops (1946), Trans. Amer. Math. Soc. 60 (1946), MR 8 (1947). (1946) MR0017288
- Bruck R.H., A Survey of Binary Systems, Springer-Verlag, 1958, MR 29 (1959). Zbl0141.01401MR0093552
- Etherington I.M.H., Quasigroups and cubic curves, Edinburgh Math. Soc. 14 (1964), MR 33 (1967). (1964) MR0195974
- Evans T., Homomorphisms of non-associative systems, J. London Math. Soc. 24 (1949), MR 11 (1950). (1949) MR0032664
- Freudenthal H., Octaven, Ausnahmegruppen und Oktavengeometrie, Utrecht, 1951, MR 13 (1952).
- Garrison G.N., Quasi-groups, Ann. of Math. 41 (2) (1940), MR 7 (1946). (1940) Zbl0024.15005MR0002150
- Hall M., Projective planes, Trans. Amer. Math. Soc. 54 (1943), MR 5 (1944). (1943) Zbl0060.32209MR0008892
- Hausmann B.A., Ore O., Theory of quasi-groups, Amer. J. Math. 59 (1937). (1937) Zbl0017.39102
- Mal'cev A.I., Analytic loops, Math. Sb. 36 (1955), MR 16 (1955). (1955) MR0069190
- Manin Yu.I., Cubic hypersurfaces I, Math. USSR-Izv. 2 (1968), MR 38 (1969). (1968) Zbl0193.21604
- Moufang R., Zur Struktur von Alternativkoerpern, Math. Ann. 110 (1935). (1935) MR1512948
- Murdoch D.C., Quasi-groups which satisfy certain generalized associative laws, Amer. J. Math. 61 (1939). (1939) Zbl0020.34702MR1507391
- Pickert G., Projective Ebenen, Springer-Verlag, 1955, 2nd ed. 1975, MR 51 (1976).
- Pontryagin L.S., Topologische Gruppen, Teubner, 1957, MR 20 (1959). Zbl0265.22001
- Robinson D.A., Bol loops, Trans. Amer. Math. Soc. 123 (1966), MR 33 (1967). (1966) Zbl0163.02001MR0194545
- Sade A., Quasigroupes Parastrophiques, Math. Nachr. 20 (1959), MR 22 (1961). (1959) Zbl0092.25801MR0114870
- Suschkewitsch A.K., On a generalization of the associative law, Trans. Amer. Math. Soc. 31 (1929). (1929)
- Zorn M., Theorie der Alternativen Ringe, Hamb. Abhandl. 8 (1930). (1930)
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