Generalized Higher Derivations on Lie Ideals of Triangular Algebras
Let be the triangular algebra consisting of unital algebras A and B over a commutative ring R with identity 1 and M be a unital (A; B)-bimodule. An additive subgroup L of A is said to be a Lie ideal of A if [L;A] ⊆ L. A non-central square closed Lie ideal L of A is known as an admissible Lie ideal....
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2017-06-01
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Series: | Communications in Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/cm-2017-0005 |
Summary: | Let be the triangular algebra consisting of unital algebras A and B over a commutative ring R with identity 1 and M be a unital (A; B)-bimodule. An additive subgroup L of A is said to be a Lie ideal of A if [L;A] ⊆ L. A non-central square closed Lie ideal L of A is known as an admissible Lie ideal. The main result of the present paper states that under certain restrictions on A, every generalized Jordan triple higher derivation of L into A is a generalized higher derivation of L into A. |
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ISSN: | 2336-1298 |