a generalization of martindale's theorem to $(alpha, beta)-$homomorphism

Authors

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.

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.

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Journal title:
international journal of nonlinear analysis and applications

جلد ۷، شماره ۲، صفحات ۱۴۳-۱۵۱

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