| Title:
|
Generalized Higher Derivations on Lie Ideals of Triangular Algebras (English) |
| Author:
|
Ashraf, Mohammad |
| Author:
|
Parveen, Nazia |
| Author:
|
Wani, Bilal Ahmad |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
25 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
35-53 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathfrak {A} = \begin {pmatrix}\mathcal {A} & \mathcal {M}\\ &\mathcal {B} \end {pmatrix}$ be the triangular algebra consisting of unital algebras $\mathcal {A}$ and $\mathcal {B}$ over a commutative ring $R$ with identity $1$ and $ \mathcal {M}$ be a unital $ \mathcal {(A, B)}$-bimodule. An additive subgroup $ \mathfrak { L }$ of $ \mathfrak { A } $ is said to be a Lie ideal of $\mathfrak {A}$ if $[\mathfrak {L},\mathfrak {A}]\subseteq \mathfrak {L}$. A non-central square closed Lie ideal $\mathfrak { L }$ of $\mathfrak { A }$ is known as an admissible Lie ideal. The main result of the present paper states that under certain restrictions on $\mathfrak {A}$, every generalized Jordan triple higher derivation of $ \mathfrak {L}$ into $\mathfrak {A}$ is a generalized higher derivation of $ \mathfrak {L}$ into $ \mathfrak { A }$. (English) |
| Keyword:
|
Admissible Lie Ideals |
| Keyword:
|
triangular algebra |
| Keyword:
|
generalized higher derivation |
| Keyword:
|
generalized Jordan higher derivation |
| Keyword:
|
generalized Jordan triple higher derivation |
| MSC:
|
15A78 |
| MSC:
|
16W25 |
| MSC:
|
47L35 |
| idZBL:
|
Zbl 1390.16039 |
| idMR:
|
MR3667075 |
| . |
| Date available:
|
2017-09-01T12:14:53Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146843 |
| . |
| Reference:
|
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| Reference:
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