Generalized centroid of Γ-semirings

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-sem...

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Autores principales: Durna,Hasret, Yilmaz,Damla
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400805
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Sumario: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.