[PDF][PDF] On derivations in rings and their applications

M Ashraf, S Ali, C Haetinger - Aligarh Bull. Math, 2006 - researchgate.net
In this survey paper, we present an historical account on derivations,(θ, φ)-derivations,
Jordan derivations, generalized derivations, generalized (θ, φ)-derivations, generalized …

[PDF][PDF] Some commutativity theorems for rings with generalized derivations

M Ashraf, A Ali, S Ali - Southeast Asian Bull. Math, 2007 - researchgate.net
Some Commutativity Theorems for Rings with Gener- alized Derivations Page 1 Southeast
Asian Bulletin of Mathematics cO SEAMS. 2007 Southeast Asian Bulletin of Mathematics (2007) …

[PDF][PDF] Multiplicative (generalized)-derivations and left ideals in semiprime rings

A Ali, B Dhara, S Khan - Hacettepe Journal of Mathematics and …, 2015 - dergipark.org.tr
Let R be a semiprime ring with center Z (R). A mapping F: R→ R (not necessarily additive) is
said to be a multiplicative (generalized)-derivation if there exists a map f: R→ R (not …

Generalized derivations of prime rings

H Shuliang - International Journal of Mathematics and …, 2007 - Wiley Online Library
Let R be an associative prime ring, U a Lie ideal such that u2∈ U for all u∈ U. An additive
function F: R→ R is called a generalized derivation if there exists a derivation d: R→ R such …

[PDF][PDF] Traces of permuting n-derivations and commutativity of rings

M Ashraf, N Parveen, MR Jamal - Southeast Asian Bull. Math, 2014 - academia.edu
In this paper, we investigate the commutativity of ring R satisfying certain identities involving
the trace δ of permuting-derivation Δ namely;(i)[δ (x), δ (y)]=[x, y],(ii) δ (xy)±xy∈ Z (R),(iii) δ …

[PDF][PDF] ON GENERALIZED n-DERIVATIONS IN NEAR-RINGS.

M Ashraf, MA Siddeeque - Palestine journal of mathematics, 2014 - pjm.ppu.edu
ON GENERALIZED n-DERIVATIONS IN NEAR-RINGS Page 1 Palestine Journal of
Mathematics Vol. 3(Spec 1) (2014) , 468–480 © Palestine Polytechnic University-PPU 2014 ON …

Identities with generalized derivations in semiprime rings

B Dhara, S Ali, A Pattanayak - Demonstratio Mathematica, 2013 - degruyter.com
Let R be a semiprime ring. An additive mapping F: R→ R is called a generalized derivation
of R if there exists a derivation d: R→ R such that F (xy)= F (x) y+ xd (y) holds, for all x, y∈ R …

[PDF][PDF] Nonlinear Jordan triple higher derivable mappings of triangular algebras

M Ashraf, A Jabeen - Southeast Asian Bull. Math, 2018 - researchgate.net
Let A, B be unital R-algebras over a commutative ring R with unity and M be a nonzero (A, B)-
bimodule which is faithful as a left A-module and also as a right B-module. Suppose that A …

On generalized derivations of semirings

M Dadhwal, G Devi - Georgian Mathematical Journal, 2022 - degruyter.com
In this paper, the notion of generalized derivations is characterized. Also, the action of these
derivations on ideals is investigated and as a consequence, some results involving …

[PDF][PDF] On semiprime rings with generalized derivations

M Ashraf, N Rehman, S Ali… - Boletim da Sociedade …, 2010 - uomustansiriyah.edu.iq
Mohammad Ashraf, Nadeem-ur-Rehman, Shakir Ali and Muzibur Rahman Mozumder
abstract: Let R be a ring and F and G be generalized derivations of R with associated …