On symmetric biadditive mappings of semiprime rings
Let R be a ring with centre Z(R). A mapping D(., .) : R× R −→ R is said to be symmetric if D(x, y) = D(y, x) for all x, y ∈ R. A mapping f : R −→ R defined by f(x) = D(x, x) for all x ∈ R, is called trace of D. It is obvious that in the case D(., .) : R × R −→ R is a symmetric mapping, which is also...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2017-09-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23568 |