Multiplicative*-Lie type higher derivations of standard operator algebras

BA Wani, M Ashraf, MS Akhtar - Communications in Algebra, 2021 - Taylor & Francis
Let A be a standard operator algebra on an infinite dimensional complex Hilbert space H
containing identity operator I. Let pn (X 1, X 2,⋯, X n) be the polynomial defined by n …

Jordan-type derivations on trivial extension algebras.

M Ashraf, MS Akhter, MA Ansari - Journal of Algebra & Its …, 2024 - search.ebscohost.com
Assume that is a unital algebra over a commutative unital ring ℛ and is an-bimodule. A trivial
extension algebra⋉ is defined as an ℛ-algebra with usual operations of ℛ-module× and the …

Multiplicative∗-Jordan type higher derivations on von Neumann algebras

BA Wani, M Ashraf, W Lin - Quaestiones Mathematicae, 2020 - Taylor & Francis
Let be a von Neumann algebra without nonzero central abelian projections on a complex
Hilbert space. Let pn (X 1, X 2,···, Xn) be the polynomial defined by n indeterminates X 1 …

Multiplicative generalized Jordan -derivations of unital rings with idempotents

M Ashraf, MA Ansari, MS Akhter - arXiv preprint arXiv:2210.08776, 2022 - arxiv.org
Let $\mathfrak {A} $ be a unital ring with a nontrivial idempotent. In this paper, it is shown
that under certain conditions every multiplicative generalized Jordan $ n $-derivation …

Triple derivable maps on prime algebras with involution

TY Kao, CK Liu - Communications in Algebra, 2023 - Taylor & Francis
Let A be a unital prime*-algebra with characteristic not 2 and with a projection e≠ 0, 1.
Suppose that d: A→ Q s (A) is a map satisfying d (xy* z+ zy* x 2)= d (x) y* z+ xd (y)* z+ xy* d …

Characterizations of*-Lie derivable mappings on prime*-rings

AN Alkenani, M Ashraf, BA Wani - Rad Hrvatske akademije znanosti i …, 2019 - hrcak.srce.hr
CHARACTERIZATIONS OF ∗-LIE DERIVABLE MAPPINGS ON PRIME ∗-RINGS Ahmad N.
Alkenani, Mohammad Ashraf and Bilal Ahmad Wani 1. In Page 1 RAD HAZU. MATEMATIČKE …

Characterizations of Lie higher derivations on triangular algebras

W Lin - Indian Journal of Pure and Applied Mathematics, 2020 - Springer
In this paper we mainly characterize Lie higher derivations on triangular algebras by local
action. Let T= A & M\0 & BT= AM 0 B be a triangular algebra over a commutative ring RR …

Lie (Jordan) centralizers on alternative algebras

A Jabeen, BLM Ferreira - Proyecciones (Antofagasta), 2022 - SciELO Chile
Lie (Jordan) centralizers on alternative algebras Page 1 Lie (Jordan) centralizers on alternative
algebras Aisha Jabeen Jamia Millia Islamia, India and Bruno LM Ferreira Federal University …

Multiplicative Lie-Type Derivations on Rings

M Ashraf, MS Akhtar, BA Wani, M Kumar - Bulletin of the Iranian …, 2022 - Springer
Let R be a ring with the center Z (R) containing a nontrivial idempotent. Suppose pn (X 1, X
2,⋯, X n) is the polynomial defined by n noncommuting indeterminates X 1,⋯, X n and their …

Generalized Lie triple higher derivable maps on rings

MS Akhtar, M Ashraf - Quaestiones Mathematicae, 2021 - Taylor & Francis
Let be a ring containing a nontrivial idempotent with the center Z () and ℕ be the set of all
non-negative integers. Let Δ={Gn} n∈ ℕ be a family of mappings Gn:(not necessarily …