On triangular n−matrix rings having multiplicative lie type derivations

Author:

Jabeen Aisha1,Raza Mohd2,Ahmad Musheer1

Affiliation:

1. Department of Applied Sciences & Humanities Jamia Millia Islamia, New Delhi, India

2. College of Sciences & Arts-Rabigh Department of Mathematics King Abdulaziz University Jeddah, Saudi Arabia

Abstract

Let 1 < n ? Z+ and T be a triangular n?matrix ring. This manuscript reveals that under a few moderate presumptions, a map L : T ? T could be a multiplicative Lie N?derivation iff L(X ) = D(X ) + ?(X ) holds on every X ? T , where D : T ? T is an additive derivation and ? : T ? Z (T ) is a central valued map that disappears on all Lie N?products.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference12 articles.

1. Z. Abdullaev, n−Lie derivations on von Neumann algebra, Uzbek. Mat. Zh. 5(6) (1992), 3-9.

2. M. Ashraf, M. S. Akhtar, and A. Jabeen, Characterizations of Lie triple higher derivations of triangular algebras by local actions, Kyungpook Math. J. 60 (2020), no. 4, 683-710.

3. M. Ashraf, S. Ali, and B. A. Wani, Nonlinear ∗−Lie higher derivations of standard operator algebras, Commun. Math. 26(1) (2018) 15-29.

4. H. Chen and X. Qi, Multiplicative Lie derivations on triangular n−matrix rings, Linear and Multilinear Algebra 70(7) (2020) 1230-1251.

5. M. Daif, When is a multiplicative derivation additive?, Internat. J. Math. Sci. 14 (1991) 615-618.

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