Photo by ps_composition from unsplash
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… Click to show full 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 and the behavior of skew derivations on multilinear polynomials. More precisely, we investigate the m-potent commutators of skew derivations involving multilinear polynomials, i.e., ([δ(f(x1,…,xn)),f(x1,…,xn)])m=[δ(f(x1,…,xn)),f(x1,…,xn)],\big{(}[\delta(f(x_{1},\ldots,x_{n})),f(x_{1},\ldots,x_{n})]\big{)}^{m}=[% \delta(f(x_{1},\ldots,x_{n})),f(x_{1},\ldots,x_{n})], where 1
Journal Title: Georgian Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!