Generalized centroid of Γ-semirings.
Author
Durna, Hasret
Yilmaz, Damla
Abstract
We define and study the generalized centroid of a semiprime Γ-semiring. We show that the generalized centroid CΓ is a multiplicatively reguler Γ-semiring and so Γ-semifield and give some properties of the generalized centroid of a semiprime Γ-semiring.