THE CENTER OF THE TOTAL RING OF FRACTIONS.

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 GKdim(A) < GKdim(Z(A)) + 1, then Z(Qr(A)) ≅= Q(Z(A)). Many examples that illustrate the theorem are included, most of them within the skew PBW extensions. [ABSTRACT FROM AUTHOR]