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Nonlinear derivations of incidence algebras

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0 Published in 2019 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-019-01016-2

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)… read more here.

Keywords: incidence; incidence algebras; derivations incidence; derivation ... See more keywords

Lie triple derivations of incidence algebras

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1 Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1523422

Abstract: Abstract Let be a 2-torsion free commutative ring with unity, X a locally finite preordered set and the incidence algebra of X over . If X consists of a finite number of connected components, we… read more here.

Keywords: incidence; incidence algebras; derivations incidence; triple derivations ... See more keywords

Nonlinear Jordan derivations of incidence algebras

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0 Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1890106

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… read more here.

Keywords: jordan derivations; incidence algebras; derivations incidence; derivation ... See more keywords