Abstract:Abstract.The main result gives several characterizations of Noethenan domains that satisfy the altitude formula in terms of analytic spreads and asymptotic prime divisors.1. Introduction. In [7], I proved several results concerning the prime divisors ( = associated primes) of /" and the integral closure of /", where / is an ideal in a Noetherian ring R and n is large. These results were considerably sharpened in [1] and [2]. In particular, in [1], Brodmann showed that all large powers of /" have the same prime… Show more
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