Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F: R! R is called a
generalized derivation on R if there exists a derivation d: R to R such that F (xy)= F (x) y+ xd …

A prime ring ${S} $ with the centre ${Z} $ and generalised derivations that meet certain
algebraic identities is considered. Let's assume that $\Psi $ and $\Phi $ are two generalised …

Let R be a prime ring and α, β α, β be automorphisms on R. Suppose that G and F are two
generalized (α, β)(α, β)-derivations on R associated with (α, β)(α, β)-derivations g and d on R …

In this study, the commutativity conditions with generalized derivations, which have not been
examined before, are discussed. Under these conditions, the subject of generalized …

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 …

In recent years, soft sets have become popular in various fields. For this reason, many
studies have been carried out in the field of algebra. In this study, soft intersection k-ideals …

Let R be a 2‐torsion free ring and let L be a noncentral Lie ideal of R, and let F: R→ R and
G: R→ R be two generalized derivations of R. We will analyse the structure of R in the …

In this paper we introduce the notion of a generalized (α, β, d)-derivation on a lattice, with
associated two sided α-derivation d, and investigate some related results. Among some …

R, 2-torsion free bir yarıasal halka ve U, R halkasının bir merkez tarafından kapsanılmayan
kare-kapalı Lie ideali olsun. Eğer her x, y∈ R için F (xy)= F (x) y+ xd (y), koşulunu sağlayan …

Let A be a prime ring with the center Z (A) and a second-kind involution∗ in which
generalized derivations fulfil specific algebraic identities. Assume that ψ and ϕ are …