Some results in the theory of quasigroups
HTML articles powered by AMS MathViewer
- by Richard H. Bruck PDF
- Trans. Amer. Math. Soc. 55 (1944), 19-52 Request permission
References
- A. A. Albert, Non-associative algebras. I. Fundamental concepts and isotopy, Ann. of Math. (2) 43 (1942), 685–707. MR 7747, DOI 10.2307/1968960
- Anton Suschkewitsch, On a generalization of the associative law, Trans. Amer. Math. Soc. 31 (1929), no. 1, 204–214. MR 1501476, DOI 10.1090/S0002-9947-1929-1501476-0
- D. C. Murdoch, Quasi-Groups Which Satisfy Certain Generalized Associative Laws, Amer. J. Math. 61 (1939), no. 2, 509–522. MR 1507391, DOI 10.2307/2371517
- D. C. Murdoch, Structure of abelian quasi-groups, Trans. Amer. Math. Soc. 49 (1941), 392–409. MR 3427, DOI 10.1090/S0002-9947-1941-0003427-2
- Ruth Moufang, Zur Struktur von Alternativkörpern, Math. Ann. 110 (1935), no. 1, 416–430 (German). MR 1512948, DOI 10.1007/BF01448037
- G. Bol, Gewebe und gruppen, Math. Ann. 114 (1937), no. 1, 414–431 (German). MR 1513147, DOI 10.1007/BF01594185
- B. A. Hausmann and Oystein Ore, Theory of Quasi-Groups, Amer. J. Math. 59 (1937), no. 4, 983–1004. MR 1507296, DOI 10.2307/2371362
- D. C. Murdoch, Note on normality in quasi-groups, Bull. Amer. Math. Soc. 47 (1941), 134–138. MR 3426, DOI 10.1090/S0002-9904-1941-07391-X
- Harriet Griffin, The abelian quasi-group, Amer. J. Math. 62 (1940), 725–737. MR 2892, DOI 10.2307/2371482 R. Moufaṇg, Alternativkorper und der Satz vom vollstandigen Vierseit $({D_9})$, Abh. Math. Sem. Hamburgischen Univ. vol. 9 (1933) pp. 207-222. Max Zorn, Theorie der alternativen Ringe, Abh. Math. Sem. Hamburgischen Univ. vol. 8 (1931) pp. 123-147.
- G. N. Garrison, Quasi-groups, Ann. of Math. (2) 41 (1940), 474–487. MR 2150, DOI 10.2307/1968729
- A. A. Albert, Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), 507–519. MR 9962, DOI 10.1090/S0002-9947-1943-0009962-7
- R. D. Schafer, Alternative algebras over an arbitrary field, Bull. Amer. Math. Soc. 49 (1943), 549–555. MR 8610, DOI 10.1090/S0002-9904-1943-07967-0
Additional Information
- © Copyright 1944 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 55 (1944), 19-52
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0002-9947-1944-0009963-X
- MathSciNet review: 0009963