Conservation of the noetherianity by perfect transcendental field extensions

M. Fernandez-Lebron, L. Narvaez-Macarro

Let $k$ be a perfect field of characteristic $p>0$, $k(t{)}_{per}$ the perfect closure of $k(t)$ and $A$ a $k$-algebra. We characterize whether the ring $A{\otimes }_{k}k(t{)}_{per}$ is no…