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

نویسندگان

Eqbal Keyhani Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.

Mahmoud Hassani Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Maryam Amyari Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.

چکیده مقاله:

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.

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