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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Main Authors:	Ashraf Mohammad, Parveen Nazia, Wani Bilal Ahmad
Format:	Article
Language:	English
Published:	Sciendo 2017-06-01
Series:	Communications in Mathematics
Subjects:	admissible lie ideals triangular algebra generalized higher derivation general- ized jordan higher derivation generalized jordan triple higher derivation
Online Access:	https://doi.org/10.1515/cm-2017-0005

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spelling	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

Generalized Higher Derivations on Lie Ideals of Triangular Algebras

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