4 citations · 6 across the 5 of their papers we have counts for
5 papers
Invertibility of ideals in Prufer extensions
Carmelo Antonio Finocchiaro, Francesca Tartarone
Using the general approach to invertibility for ideals in ring extensions given by Knebush-Zhang, we investigate about connections between faithfully flatness and invertibility for…
On a topological characterization of prüfer v-multiplication domains among essential domains
C. A. Finocchiaro, F. Tartarone
In this paper we characterize the Prüfer v-multiplication domain as a class of essential domains verifying an additional property on the closure of some families of prime ideals, w…
Integrally closed rings in birational extensions of two-dimensional regular local rings
Bruce Olberding, Francesca Tartarone
Let be an integrally closed local Noetherian domain of Krull dimension 2, and let be a nonzero element of such that has prime radical. We consider when an integral…
Flat Ideals and Stability in Integral Domains
Giampaolo Picozza, Francesca Tartarone
We introduce the concept of \textit{quasi-stable} ideal in an integral domain (a nonzero fractional ideal of is quasi-stable if it is flat in its endomorphism ring $(I…
Star-Invertibility and -finite character in Integral Domains
Carmelo Antonio Finocchiaro, Giampaolo Picozza, Francesca Tartarone
Let be an integral domain. We study new conditions on families of integral ideals of in order to get that is of -finite character (i.e., each nonzero element of …