A spectral construction of a treed domain that is not going-down
A spectral construction of a treed domain that is not going-down
It is proved that if 2 d oo, then there exist a treed domain R of Krull dimension d and an integral domain T containing R as a subring such that the extension R C T does not satisfy the going-down property.Rather than proceeding ring-theoretically, we construct a suitable spectral …