Geodesic
The center of the total ring of fractions
Serdica Mathematical Journal, Tome 46 (2020) no. 2, pp. 109-120.

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Let \(A\) be a right Ore domain, \(Z(A)\) be the center of \(A\) and \(Q_r(A)\) be the right total ring of fractions of \(A\). If\(K\) is a field and \(A\) is a \(K\)-algebra, in this short paper we prove that if \(A\) is finitely generated and \({\rm GKdim}(A)<{\rmGKdim}(Z(A))+1\), then \(Z(Q_r(A))\cong Q(Z(A))\). Many examples that illustrate the theorem are included, most of them within the skew\(PBW\) extensions.
Keywords: Ore domains, total ring of fractions, center of a ring, Gelfand–Kirillov dimension, skew \(PBW\) extensions, 16S85, 16U70, 16P90, 16S36 
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Lezama, Oswaldo; Venegas, Helbert. The center of the total ring of fractions. Serdica Mathematical Journal, Tome 46 (2020) no. 2, pp. 109-120. http://geodesic.mathdoc.fr/item/SMJ2_2020_46_2_a1/