A note on Jordan derivations of triangular rings
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DOI: 10.1007/s00010-019-00689-y
Abstract: In this note we prove that every Jordan derivation on a triangular ring is a derivation. Moreover, we show that, under some conditions, every Jordan derivation on a 2-torsion free ring is a derivation. read more here.
Keywords: jordan derivations; derivations triangular; note jordan; derivation ... See more keywords
Generalized skew derivations on triangular algebras determined by action on zero products
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DOI: 10.1080/00927872.2017.1360334
Abstract: ABSTRACT For a triangular algebra ???? and an automorphism σ of ????, we describe linear maps F,G:????→???? satisfying F(x)y+σ(x)G(y) = 0 whenever x,y∈???? are such that xy = 0. In particular, when ???? is a… read more here.
Keywords: algebras determined; derivations triangular; skew derivations; triangular algebras ... See more keywords
Generalized Lie n-derivations of triangular algebras
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DOI: 10.1080/00927872.2019.1617875
Abstract: Abstract Let be a triangular algebra. We show that under suitable assumptions every generalized Lie n-derivation associated with a linear map is of the form where and Δ is a Lie n-derivation of We solve… read more here.
Keywords: derivations triangular; lie derivations; triangular algebras; generalized lie ... See more keywords