The purpose of this paper is to study the commutativity of a prime ring ℛ with anti-
automorphism ψ and generalized derivation (ℱ, ξ) satisfying certain algebraic identities …

Objectives: The main objective of this article is to introduce*-Jordan ideals of a certain class
of semirings called MA-semirings with involution and to investigate some conditions for …

Let $ R $ be a ring, a mapping $ F: R\rightarrow R $ together with a mapping $ d:
R\rightarrow R $ is called a multiplicative (generalized)-reverse derivation if $ F (xy)= F (y) …

Let R be a 2-torsion free prime ring with center Z (R) and a nonzero Jordan ideal J. In this
paper, our main objective is to prove that: If F: R → RF: R→ R is a generalized derivation …

Let R be a ring. An additive mapping F: R→ R is called a generalized derivation if there
exists a derivation d of R such that F (xy)= F (x) y+ xd (y) for all x, y∈ R. The main purpose of …

Let R be a 2-torsion free semiprime ring with center Z (R) and λ a nonzero left sided ideal of
R. Let F, G: R→ R be multiplicative (generalized)-derivations associated with the map d: R→ …

Let R be a ring with center Z(R). A mapping f:R→R is said to be strong commutativity
preserving (SCP) on R if f(x),f(y)=x,y and is said to be strong anti-commutativity preserving …

Let R be a prime ring with multiplicative (generalized)-derivations (F, f) and (G, g) on R. This
paper gives a number of central valued algebraic identities involving F and G that are …

Let M be weak Nobusawa Γ-ring and γ be non-zero element of Γ. In this paper, we study the
definition of γ-semi prime Γ-ring, and introduce definition of γ-semi simple Γ-ring and γ …

The purpose of this paper is to find commutativity conditions in∗-prime rings with
generalized derivations, where′∗′ is involution of the second kind. More specifically, it is …