@article{Yazarli_Davvaz_Yilmaz_2020, title={Extended centroid of hyperrings}, volume={8}, url={https://gjom.org/index.php/gjom/article/view/293}, abstractNote={<p>In this paper, the notation of extended centroid is applied to hyperring. We show that the extended centroid <em>C</em> of a hyperring is a hyperfield. Also, we show that if <em>a</em>, <em>b</em> ∈ <em>S</em> such that <em>axb</em> = <em>bxa</em> for all <em>x</em> ∈ <em>R</em>, then there exists <em>q</em> ∈ <em>C</em> such that <em>qa</em> = <em>b</em> where <em>R</em> is a prime hyperring and <em>S</em> be the central closure of <em>R</em>. Finally we give some relations between the extended centroid and derivation in hyperring.</p>}, number={1}, journal={Gulf Journal of Mathematics}, author={Yazarli, Hasret and Davvaz, Bijan and Yilmaz, Damla}, year={2020}, month={Mar.}, pages={6-15} }