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math.AC2003
The content of a Gaussian polynomial is invertible
K. Alan Loper, Moshe Roitman
Let R be an integral domain and let f(X) be a nonzero polynomial in R[X]. The content of f is the ideal c(f) generated by the coefficients of f. The polynomial f(X) is called Gauss…
math.AC2003
Well-centered overrings of an integral domain
William Heinzer, Moshe Roitman
Let A be an integral domain with field of fractions K. We investigate the structure of the overrings B of A (contained in K) that are well-centered on A in the sense that each prin…
math.AC2003
Complete integral closure and strongly divisorial prime ideals
Valentina Barucci, Stefania Gabelli, Moshe Roitman
It is well known that a domain without proper strongly divisorial ideals is completely integrally closed. In this paper we show that a domain without {\em prime} strongly divisoria…