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Some commutativity theorems for rings with involution involving generalized derivations

My Abdallah Idrissi

Université S. M. Ben Abdellah, Faculté des Sciences et Techniques, Département de Mathématiques, BP 2202 Fès, Maroc

E-mail Address: myabdallahidrissi@gmail.com

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and

Lahcen Oukhtite

Université S. M. Ben Abdellah, Faculté des Sciences et Techniques, Département de Mathématiques, BP 2202 Fès, Maroc

E-mail Address: Oukhtitel@hotmail.com

Corresponding author.

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https://doi.org/10.1142/S1793557119500013Cited by:5 (Source: Crossref)

Abstract

Our purpose in this paper is to investigate commutativity of a ring with involution $(R, *)$ which admits a generalized derivation satisfying certain algebraic identities. Some well-known results characterizing commutativity of prime rings have been generalized. Moreover, we provide examples to show that the assumed restrictions cannot be relaxed.

Communicated by C. C. Xi

Keywords:

AMSC: 16N60, 16W10, 16W25

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