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Abstract Let be a locally finite preordered set, a two-torsion-free commutative ring with unity and the incidence algebra of X over In this paper, all the nonlinear Jordan derivations of… Click to show full abstract
Abstract Let be a locally finite preordered set, a two-torsion-free commutative ring with unity and the incidence algebra of X over In this paper, all the nonlinear Jordan derivations of are determined. In particular, if all the connected components of X are nontrivial, we prove that every nonlinear Jordan derivation of is proper and can be presented as a sum of an inner derivation, a transitive induced derivation, and an additive induced derivation.
Keywords:
jordan derivations;
incidence algebras;
derivations incidence;
derivation;
nonlinear jordan
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!