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Certain commutativity criteria for rings with involution involving generalized derivations

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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… Click to show full 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.

Keywords: certain commutativity; involution; commutativity criteria; generalized derivations; criteria rings

Journal Title: Georgian Mathematical Journal
Year Published: 2018

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