Document Type : Research Paper
Authors
1 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
2 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Abstract
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.
Keywords