Generalized centroid of Γ-semirings.
Keywords:
Semiring, quotient semiring, gamma-semiring, quotient gamma-semiringAbstract
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.
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