Characterizations of Lie triple derivations on generalized matrix algebras

Let be a commutative ring with unity and be a generalized matrix algebra. In this article, we give the structure of Lie triple derivation on a generalized matrix algebra and prove that under certain appropriate assumptions on is proper, i.e., where δ is a derivation on and χ is a mapping from into i...

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Bibliographic Details
Published in:Communications in algebra 2020-09, Vol.48 (9), p.3651-3660
Main Authors: Ashraf, Mohammad, Akhtar, Mohd Shuaib
Format: Article
Language:English
Subjects:
Commutativity
Commutators
Derivation
generalized matrix algebra
Lie derivation
Lie triple derivation
Mapping
Mathematical analysis
Matrix algebra
Rings (mathematics)
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Summary:Let be a commutative ring with unity and be a generalized matrix algebra. In this article, we give the structure of Lie triple derivation on a generalized matrix algebra and prove that under certain appropriate assumptions on is proper, i.e., where δ is a derivation on and χ is a mapping from into its center which annihilates all second commutators in i.e., for all
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2020.1743299