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
m-potent commutators involving skew derivations and multilinear polynomials
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DOI: 10.1515/gmj-2020-2066
Abstract: Abstract Let ℛ{\mathscr{R}} be a prime ring, ????r{\mathscr{Q}_{r}} the right Martindale quotient ring of ℛ{\mathscr{R}} and ????{\mathscr{C}} the extended centroid of ℛ{\mathscr{R}}. In this paper, we discuss the relationship between the structure of prime rings… read more here.
Keywords: skew derivations; multilinear polynomials; potent commutators; mathscr ... See more keywords
On skew derivations and generalized skew derivations in Banach algebras
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DOI: 10.2989/16073606.2019.1607604
Abstract: Abstract Let A be unital prime Banach algebra over ℝ or ℂ with centre and G 1, G 2 be open subsets of be a continuous linear generalized skew derivation, and be a continuous linear… read more here.
Keywords: skew derivations; banach algebras; derivations generalized; generalized skew ... See more keywords