PROJECTIVELY EQUIVALENT NOETHERIAN FILTRATIONS AND REES VALUATIONS
Let be filtrations on a noetherian ring A. The filtrations f and g are said to be projectively equivalent if there exists such that where with integral over We define the set of Rees valuations with respect to a filtration h on A, which is denoted We prove that f and g are projectively equivalent if and only if and and are proportional, for all where with This is an extension to filtrations of a result of Ciupercă et al. [3].
filtration, projective equivalence, valuation.