Abstract Let A\, A and A\,'A′ be two C^* C∗-algebras with identities I_ A\, IA and I_ A\,'IA′,
respectively, and P_1 P 1 and P_2= I_ A\,-P_1 P 2= IA-P 1 nontrivial projections in A\, A. In …

Let R be an alternative ring containing a nontrivial idempotent and D be a multiplicative Lie-
type derivation from R into itself. Under certain assumptions on R, we prove that D is almost …

Abstract Let J\, J and J\,^'J′ be Jordan rings. In this paper we study the additivity of n-
multiplicative isomorphisms from J\, J onto J\,^'J′ and of n-multiplicative derivations of J\, J …

Suppose\mathfrak R\, R is a 2, 3-torsion free unital alternative ring having an idempotent
element e_1 e 1\left (e_2= 1-e_1\right) e 2= 1-e 1 which satisfies x\mathfrak R\, ⋅ e_i={0\} ⇒ …

Let $\Re $ and $\Re'$ unital $2 $, $3 $-torsion free alternative rings and
$\varphi:\Re\rightarrow\Re'$ be a surjective Lie multiplicative map that preserves …

Let 𝔍 and 𝔍′ be two∗-Jordan algebras with identities I 𝔍 and I 𝔍′, respectively, and ea
nontrivial∗-idempotent in 𝔍. In this paper, we study the characterization of multiplicative∗ …

Let T be a triangular n-matrix ring (n≥ 2). It is shown that, under some mild assumptions, a
map δ: T→ T is a multiplicative Lie derivation if and only if δ (X)= d (X)+ γ (X) holds for all X∈ …

Let 1< n∈ Z+ and T be a triangular n− matrix ring. This manuscript reveals that under a few
moderate presumptions, a map L: T→ T could be a multiplicative Lie N− derivation iff L (X) …

Abstract Let T= T _3 (R _i, M _ ij) T= T 3 (R i, M ij) be a triangular 3-matrix ring. In the present
paper, we study of multiplicative Lie triple derivation on triangular 3-matrix rings and prove …

Let A and A'be two Cstar-algebras with identities I_A and I_A', respectively, and P_1 and
P_2= I_A-P_1 nontrivial projections in A. In this paper we study the characterization of …