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 A be an*-algebra with identity 1 A and e 1 and e 2= 1 A− e 1 nontrivial symmetric
idempotents in A. In this paper we study the characterization of nonlinear mixed*-Jordan …

Let A and A′ be two C*-algebras with identities IA and IA′, respectively, and P 1 and P 2=
IA− P 1 nontrivial symmetric projections in A. In this paper we study the characterization of …

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 …

In this paper, we generalize the result valid for associative rings [2, Brešar] and [7,
Martindale III] to alternative rings. Let R be a unital alternative ring, and D: R→ R is a Lie …

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 …

arXiv:2307.00002v1 [math.RA] 27 May 2023 Page 1 arXiv:2307.00002v1 [math.RA] 27 May
2023 ∗-JORDAN-TYPE MAPS ON ALTERNATIVE ∗-ALGEBRAS ALINE JO ANDRADE, BRUNO …

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 𝔄 and 𝔄′ be two alternative∗-algebras with identities 1 𝔄 and 1 𝔄′, respectively, and
e 1 and e 2= 1 𝔄− e 1 nontrivial symmetric idempotents in 𝔄. In this paper, we study the …