Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(\alpha, \beta)-$derivation is additive.
Keyhani,E , Hassani,M and Amyari,M . (2016). A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism. International Journal of Nonlinear Analysis and Applications, 7(2), 143-151. doi: 10.22075/ijnaa.2016.481
MLA
Keyhani,E , , Hassani,M , and Amyari,M . "A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 143-151. doi: 10.22075/ijnaa.2016.481
HARVARD
Keyhani E, Hassani M, Amyari M. (2016). 'A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 143-151. doi: 10.22075/ijnaa.2016.481
CHICAGO
E Keyhani, M Hassani and M Amyari, "A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism," International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 143-151, doi: 10.22075/ijnaa.2016.481
VANCOUVER
Keyhani E, Hassani M, Amyari M. A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism. IJNAA. 2016;7(2):143-151. doi: 10.22075/ijnaa.2016.481
International Journal of Nonlinear Analysis and Applications