An Engel condition with generalized skew derivations on multilinear polynomials. Issue 10 (3rd October 2018)

• Record Type: Journal Article
• Authors: Albaş, E.; Argaç, N.; De Filippis, V.; Demir, Ç.
• Is Part Of: Linear & multilinear algebra. Volume 66:Issue 10(2018)
• Page Start: 1925
• Page End: 1938
• Publication Date: 2018-10-03
• Subjects: Polynomial identity -- generalized skew derivation -- authomorphism -- prime ring; 16R50 -- 16W25 -- 16N60; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2017.1377677
• Languages: English
• ISSNs: 0308-1087

Abstract

ABSTRACT: Let R be a prime ring of characteristic different from 2 with right Martindale quotient ring Q and extended centroid C . Let further be a fixed integer, a multilinear polynomial over C which is not central-valued on R . If is a nonzero generalized skew derivation of R such that for all, then either there exists such that for all, or one of the following holds: (a) and is central-valued on R for a suitable ; (b) there exist with such that for all, and is central-valued on R .