On Jordan triple (σ,τ)-higher derivation of triangular algebra

Author:

Ashraf Mohammad1,Jabeen Aisha1,Parveen Nazia1

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh ,202002, India

Abstract

Abstract Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module. In this article,we study Jordan triple (σ,τ)-higher derivation onAand prove that every Jordan triple (σ,τ)-higher derivation on A is a (σ,τ)-higher derivation on A.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Reference14 articles.

1. [1] M. Ashraf, A. Khan and C. Haetinger, On (σ, τ)-higher derivations in prime rings, Internat. Elect. J. Algebra, 8 (2010), 65-79.

2. [2] M. Ashraf and A. Jabeen, Nonlinear Jordan (σ, τ)-derivation on triangular algebras, Special Matrices 6 (2018), 216-228.

3. [3] S. U. Chase, A generalization of the ring of triangular matrices, Nagoya Math. J., 18 (1961), 13-25.

4. [4] W. S. Cheung, Maps on triangular algebras, Ph.D. Dissertation, University of Victoria, 2000.

5. [5] W. S. Cheung, Commuting maps of triangular algebras, J. Lond. Math. Soc., 63 (2001), 117-127.

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