Generalized g-derivations on prime rings
We introduce the definitions of [Formula: see text]-derivations and generalized [Formula: see text]-derivations on a ring [Formula: see text]. The main objective of the paper is to describe the structure of a prime ring [Formula: see text] in which [Formula: see text]-derivations and generalized [Formula: see text]-derivations satisfy certain algebraic identities with involution ⋆, anti-automorphism and automorphism. Some well-known results concerning derivations, generalized derivations, skew derivations and generalized skew derivations in prime rings, have been generalized to the case of [Formula: see text]-derivations and generalized [Formula: see text]-derivations.
2013 ◽
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2015 ◽
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