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. https://doi.org/10.22075/ijnaa.2016.481
MLA
Keyhani, E., Hassani, M., & 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
Keyhani, E., Hassani, M. & 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
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