2018/06/04 by Ferreira, Bruno Leonardo Macedo, Pierin, Tanise Carnieri, Ferreira, Ruth Nascimento
#16W25 #47B47 #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1806.02189
For a given ring \mathfrakR and a locally finite pre-ordered set (X, ≤), consider I(X, \mathfrakR) to be the incidence algebra of X over \mathfrakR. Motivated by a Xiao's result which states that every Jordan derivation of I(X,\mathfrakR) is a derivation in the case \mathfrakR is 2-torsion free, one proves that each generalized Jordan derivation of I(X,\mathfrakR) is a generalized derivation provided \mathfrakR is 2-torsion free, getting as a consequence the above mentioned result.