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A new equation related to two-sided centralizers in prime rings.
- Source :
-
Aequationes Mathematicae . Dec2022, Vol. 96 Issue 6, p1207-1219. 13p. - Publication Year :
- 2022
-
Abstract
- In this paper we prove the following result: Let R be a prime ring with c h a r (R) ≠ 2 , 3 , 5 and let T : R → R be an additive mapping satisfying the relation T (x 4) = x T (x 2) x for all x ∈ R . In this case T is of the form T (x) = λ x for all x ∈ R and some fixed element λ ∈ C , where C is the extended centroid of R. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*FUNCTIONAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 96
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 160372295
- Full Text :
- https://doi.org/10.1007/s00010-022-00904-3