Valentina Barucci

TL;DR: In this paper, the authors cover maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains, with a focus on the maximality property of one dimensional local domains.

TL;DR: In this paper, it was shown that a strongly Mori domain A is not a Krull domain, but a strongly closed Mori domain, where the ideals of the divisorial ideals of A are primes.

TL;DR: In this article, the Coherent mori domains and the principal ideal theorem are discussed. But they do not consider the coherence of the Principal Ideal Theorem (PIT).

TL;DR: In this paper, the connection between the value semigroup and the ring was investigated, e.g. for the case of local rings with finite integral closure, where each nonzerodivisor has a value in N d, where d is the number of maximal ideals in the integral closure.