Abstract
Let D be an integral domain, X an indeterminate over D, and and c(g) v = D}, where c(g) is the ideal of D generated by the coefficients of g. Let R be an overring of D. In this paper, we study when R[X] N v is flat over D[X] N v and when D[X] N v has the QR-property or QQR-property. For example, we show that D has the tQQR-property if and only if D[X] N v has the QQR-property, if and only if D[X] has the tQQR-property.
ACKNOWLEDGMENTS
The authors would like to thank the referee for several valuable comments and suggestions.
Notes
Communicated by F. Tartarone.
Dedicated to Marco Fontana on the occasion of his 65th birthday.