Generalized Higher Derivations on Lie Ideals of Triangular Algebras-Reference-Cited by-同舟云学术

Generalized Higher Derivations on Lie Ideals of Triangular Algebras

Published:2017-06-27 Issue:1 Volume:25 Page:35-53
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Ashraf Mohammad¹,Parveen Nazia²,Wani Bilal Ahmad¹

Affiliation:

1. Mohammad Ashraf, Bilal Ahmad Wani, Department of Mathematics, Aligarh Muslim University, Aligarh , 202002, India

2. Department of Mathematics, Jamia Millia Islamia, New Delhi , 110025, India

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference18 articles.

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2. [2] M. Ashraf, A. Khan: On generalized (σ,τ)-higher derivations in prime rings. SpringerPlus 38 (2012).

3. [3] R. Awtar: Lie ideals and Jordan derivations of prime rings. Proc. Amer. Math. Soc. 90 (1) (1984) 9{14.

4. [4] J. Bergen, I. N. Herstein, J. W. Kerr: Lie ideals and derivations of prime rings. J. Algebra 71 (1981) 259{267.

5. [5] M. Bre¹ar: On the distance of the composition of two derivations to the generalized derivations. Glasgow Math. J. 33 (1991) 89{93.

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