Nonlinear Lie-type centralizers on incidence algebras
Abstract
Let R be a 2-torsion-free commutative ring with unity, X a locally finite preordered set, and I(X,R) the incidence algebra of X over R with center Z(I(X,R)). In this paper, we provide a condition under which every nonlinear Lie n-centralizer θ on I(X,R) is proper. Under the same condition, we also show that every nonlinear generalized Lie n-derivation L of I(X,R) can be written as L(f)=λf+D(f), ∀f∈I(X,R), where λ∈Z(I(X,R)) and D is a nonlinear Lie n-derivation.
Fields of Study & Subjects
Advanced Topics in Algebra
Rings
Modules
and Algebras
Advanced Algebra and Logic
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–13
- Publication date
- 11 February 2026
- Language
- EN