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....
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doaj-5ed44cf920844191a1d011e8b421ead82021-09-06T19:19:41ZengSciendoCommunications in Mathematics2336-12982017-06-01251355310.1515/cm-2017-0005cm-2017-0005Generalized Higher Derivations on Lie Ideals of Triangular AlgebrasAshraf Mohammad0Parveen Nazia1Wani Bilal Ahmad2Mohammad Ashraf, Bilal Ahmad Wani, Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, IndiaDepartment of Mathematics, Jamia Millia Islamia, New Delhi, 110025, IndiaMohammad Ashraf, Bilal Ahmad Wani, Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, IndiaLet 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.https://doi.org/10.1515/cm-2017-0005admissible lie idealstriangular algebrageneralized higher derivationgeneral- ized jordan higher derivationgeneralized jordan triple higher derivation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ashraf Mohammad Parveen Nazia Wani Bilal Ahmad |
spellingShingle |
Ashraf Mohammad Parveen Nazia Wani Bilal Ahmad Generalized Higher Derivations on Lie Ideals of Triangular Algebras Communications in Mathematics admissible lie ideals triangular algebra generalized higher derivation general- ized jordan higher derivation generalized jordan triple higher derivation |
author_facet |
Ashraf Mohammad Parveen Nazia Wani Bilal Ahmad |
author_sort |
Ashraf Mohammad |
title |
Generalized Higher Derivations on Lie Ideals of Triangular Algebras |
title_short |
Generalized Higher Derivations on Lie Ideals of Triangular Algebras |
title_full |
Generalized Higher Derivations on Lie Ideals of Triangular Algebras |
title_fullStr |
Generalized Higher Derivations on Lie Ideals of Triangular Algebras |
title_full_unstemmed |
Generalized Higher Derivations on Lie Ideals of Triangular Algebras |
title_sort |
generalized higher derivations on lie ideals of triangular algebras |
publisher |
Sciendo |
series |
Communications in Mathematics |
issn |
2336-1298 |
publishDate |
2017-06-01 |
description |
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. |
topic |
admissible lie ideals triangular algebra generalized higher derivation general- ized jordan higher derivation generalized jordan triple higher derivation |
url |
https://doi.org/10.1515/cm-2017-0005 |
work_keys_str_mv |
AT ashrafmohammad generalizedhigherderivationsonlieidealsoftriangularalgebras AT parveennazia generalizedhigherderivationsonlieidealsoftriangularalgebras AT wanibilalahmad generalizedhigherderivationsonlieidealsoftriangularalgebras |
_version_ |
1717778049432289280 |