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 …

Nonlinear mixed ∗-Jordan type derivations on alternative ∗-algebras Page 1 Journal of Algebra
and Its Applications Vol. 24, No. 2 (2025) 2550028 (19 pages) c World Scientific Publishing …

Non-global nonlinear skew Lie triple derivations on factor von Neumann algebras Page 1
http://www.aimspress.com/journal/Math AIMS Mathematics, 7(8): 13963–13976. DOI …

Nonlinear mixed Lie triple derivations on prime ∗-rings Page 1 RESEARCH ARTICLE doi:
10.2306/scienceasia1513-1874.2022.034 ScienceAsia 48 (2022): 335–339 Nonlinear mixed …

Let A be a unital∗-algebra. Let pn (A1, A2,···, An) be the polynomial defined by n
indeterminates A1, A2,···, An∈ A and their multiple skew Lie product, and N be the set of non …

Let A be a unital∗-algebra over the complex field C. In this paper, we prove that every
nonlinear skew Lie (triple) centralizer on A is a linear∗-centralizer. Under some mild …

Let ℛ be a unital*-ring with the unit I. Assume that ℛ contains a symmetric idempotent P such
that A ℛ P= 0 implies A= 0 and A ℛ (I− P)= 0 implies A= 0. We prove that if ϕ: ℛ→ ℛ is a …

Let R be a unital∗-ring with the unit I. Assume that R contains a symmetric idempotent P
which satisfies ARP= 0 implies A= 0 and AR (IP)= 0 implies A= 0. In this paper, it is proved …