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2018•Georgian Mathematical JournalRequires access

Certain commutativity criteria for rings with involution involving generalized derivations

Badr Nejjar, Ali Kacha, Abdellah Mamouni, Lahcen Oukhtite

Open publisher page 10 citations

Abstract

Abstract In this article we investigate some commutativity criteria for a ring with involution ( R , ∗ {(R,\ast} ) in which generalized derivations satisfy certain algebraic identities. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

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What this paper is about

Abstract In this article we investigate some commutativity criteria for a ring with involution ( R , ∗ {(R,\ast} ) in which generalized derivations satisfy certain algebraic identities. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

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Available abstract

Abstract In this article we investigate some commutativity criteria for a ring with involution ( R , ∗ {(R,\ast} ) in which generalized derivations satisfy certain algebraic identities. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

Key concepts: Involution (esoterism), Mathematics, Commutative property, Pure mathematics, Algebraic number, Commutative ring, Algebraic properties, Algebra over a field

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