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   Articles with "multilinear polynomials" as a keyword



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Generalized derivations with multilinear polynomials in prime rings

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recommendations! Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1468899

Abstract: Abstract Let R be a prime ring of characteristic different from two with Utumi quotient ring U and extended centroid C, be a multilinear polynomial over C, which is not central valued on R. Suppose… read more here.

Keywords: prime rings; multilinear polynomials; polynomials prime; derivations multilinear ... See more keywords
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Evaluations of multilinear polynomials on low rank Jordan algebras

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recommendations! Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.2021221

Abstract: In this paper we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn, in particular for self-adjoint 2×2 matrices over R, over C, H and O. In fact, we prove that the… read more here.

Keywords: multilinear polynomials; polynomials low; jordan; evaluations multilinear ... See more keywords
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m-potent commutators involving skew derivations and multilinear polynomials

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recommendations! Published in 2020 at "Georgian Mathematical Journal"

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