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Let ($$X,\leq$$) be a locally finite preordered set and R a 2-torsion free commutative ring with unity, I(X, R) the incidence algebra of X over R. We prove that each… Click to show full abstract
Let ($$X,\leq$$) be a locally finite preordered set and R a 2-torsion free commutative ring with unity, I(X, R) the incidence algebra of X over R. We prove that each nonlinear derivation of I(X, R) is a sum of an inner derivation, a transitive induced derivation and an additive induced derivation. In particular, every nonlinear derivation of I(X, R) is automatically additive.
Keywords:
incidence;
incidence algebras;
derivations incidence;
derivation;
nonlinear derivations
Journal Title: Acta Mathematica Hungarica
Year Published: 2019
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Journal Title: Acta Mathematica Hungarica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!