On a generalization of the associative law

Anton Suschkewitsch
1929 Transactions of the American Mathematical Society  
t Frobenius (Über endliche Gruppen, Berliner Sitzungsberichte, 1895) defines the classic finite groups by the four following postulates: 1. The operation that will be considered is uniform (eindeutig) and applicable to any two elements. 2. This operation is uniformly reversible (eindeutig umkehrbar), i.e. from AB = AC or BA=CA it follows that B = C. 3. The Associative Law is true for it. 4. The operation is "limited in its effect" (begrenzt in ihrer Wirkung) ; that signifies the possibility of
more » ... the possibility of forming finite groups of our elements. 204 License or copyright restrictions may apply to redistribution; see http://www.ams.org/journal-terms-of-use
doi:10.1090/s0002-9947-1929-1501476-0 fatcat:cdotvf5kobee5or3c44uwc6wte