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., 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
Eqbal Keyhani; Mahmoud Hassani; Maryam 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
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
VANCOUVER
Keyhani, E., Hassani, M., Amyari, M. A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism. International Journal of Nonlinear Analysis and Applications, 2016; 7(2): 143-151. doi: 10.22075/ijnaa.2016.481