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- Title
Central Values Involving Generalized Skew Derivations and Polynomials in Prime Rings.
- Authors
Dhara, B.; Sandhu, G. S.
- Abstract
Let be a noncommutative prime ring of characteristic not , let be the right Martindale quotient ring of , and let be the extended centroid of . We study the relationship between the structure of prime rings and the behavior of generalized skew derivations on multilinear polynomials. More specifically, we investigate the central-valued identity involving a pair of generalized skew derivations on multilinear polynomials in ; i.e., for all , where is a noncentral polynomial over , while and are generalized skew derivations of associated with the same automorphism .
- Subjects
POLYNOMIAL rings; MULTILINEAR algebra; NONCOMMUTATIVE rings; QUOTIENT rings; POLYNOMIALS; LAURENT series; CENTROID
- Publication
Siberian Mathematical Journal, 2022, Vol 63, Issue 6, p1231
- ISSN
0037-4466
- Publication type
Article
- DOI
10.1134/S0037446622060192