Lie-type derivations of finitary incidence algebras
Mykola Khrypchenko, Feng Wei
Abstract
Let P be an arbitrary partially ordered set, R be a commutative ring with identity and FI(P,R) be the finitary incidence algebra of P over R. Under some natural assumption on R, we prove that each Lie-type derivation of FI(P,R) is proper, which partially generalizes the main results of Zhang and Khrypchenko (2017), Wang and Xiao (2019), and Xiao and Yang (2019).
Topics & Concepts
FinitaryMathematicsType (biology)Pure mathematicsIncidence algebraLie algebraCommutative ringRing (chemistry)Commutative propertyIdentity (music)Set (abstract data type)Incidence (geometry)Algebra over a fieldAlgebra representationJordan algebraGeometryBiologyComputer sciencePhysicsOrganic chemistryChemistryProgramming languageAcousticsEcologyAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsRings, Modules, and Algebras