Generalized derivations with multilinear polynomials in prime rings
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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
m-potent commutators involving skew derivations and multilinear polynomials
Sign Up to like & getrecommendations! 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