Nonlinear derivations of incidence algebras
Sign Up to like & getrecommendations! 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
Isomorphisms of Groups of Invertible Elements of Incidence Algebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-4160-6
Abstract: This paper shows that isomorphisms of groups of invertible elements of incidence algebras imply isomorphisms of the partial orders defining the algebras. read more here.
Keywords: invertible elements; incidence algebras; groups invertible; elements incidence ... See more keywords
Commuting Maps on Certain Incidence Algebras
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00289-1
Abstract: Let $${\mathcal {R}}$$ R be a 2-torsion-free commutative ring with unity, X a locally finite pre-ordered set with a finite number of connected components and $$I(X,{\mathcal {R}})$$ I ( X , R ) the incidence… read more here.
Keywords: incidence; maps certain; incidence algebras; commuting maps ... See more keywords
Normal subgroups of the group of units of incidence algebras
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2019.10.017
Abstract: Abstract We investigate the group of units of incidence algebras and its normal subgroups. This includes a detailed discussion of the structure and properties of maximal abelian, normal subgroups, and criteria for solvability and nilpotency. read more here.
Keywords: group units; normal subgroups; units incidence; incidence algebras ... See more keywords
Lie triple derivations of incidence algebras
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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