THE OSU-OU Ring Theory Seminar


Speaker: Moishe Roitman

          University of Haifa (ISRAEL)


Title:  The content of a Gaussian polynomial is invertible


Day, Date and Time:  Friday, September 26, 4:30 p.m.


Room:  MW 154 (OSU-Columbus campus)



Abstract: Let $R$ be a commutative  integral domain and let $f(X)$ be a nonzero
polynomial in $R[X]$.  The content of $f$ is the ideal $\mathfrak c(f)$
generated by the coefficients of $f$.  The polynomial $f(X)$ is called
Gaussian if $\mathfrak c(fg) = \mathfrak c(f)\mathfrak c(g)$ for all
$g(X) \in R[X]$. It is well known that if $\mathfrak c(f)$ is an
invertible ideal, then $f$ is Gaussian.  In this talk we prove the
converse.
This is a joint work with Alan Loper.