[PDF][PDF] On derivations in rings and their applications
In this survey paper, we present an historical account on derivations,(θ, φ)-derivations,
Jordan derivations, generalized derivations, generalized (θ, φ)-derivations, generalized …
Jordan derivations, generalized derivations, generalized (θ, φ)-derivations, generalized …
[PDF][PDF] Some commutativity theorems for rings with generalized derivations
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) …
Asian Bulletin of Mathematics cO SEAMS. 2007 Southeast Asian Bulletin of Mathematics (2007) …
[PDF][PDF] Multiplicative (generalized)-derivations and left ideals in semiprime rings
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 …
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 …
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
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 …
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 …
Mathematics Vol. 3(Spec 1) (2014) , 468–480 © Palestine Polytechnic University-PPU 2014 ON …
Identities with generalized derivations in semiprime rings
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 …
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
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 …
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 …
derivations on ideals is investigated and as a consequence, some results involving …
[PDF][PDF] On semiprime rings with generalized derivations
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 …
abstract: Let R be a ring and F and G be generalized derivations of R with associated …