A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism

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