7 citations · 8 across the 10 of their papers we have counts for
10 papers
On the Star Class Group of a Pullback
Marco Fontana, Mi Hee Park
For the domain arising from the construction , we relate the star class groups of to those of and . More precisely, let be an integral domain, a nonz…
Semistar invertibility on integral domains
Marco Fontana, Giampaolo Picozza
After the introduction in 1994, by Okabe and Matsuda, of the notion of semistar operation, many authors have investigated different aspects of this general and powerful concept. A…
Integral Domains whose Simple Overrings are Intersections of Localizations
Marco Fontana, Evan Houston, Thomas Lucas
Call a domain an sQQR-domain if each simple overring of , i.e., each ring of the form with in the quotient field of , is an intersection of localizations of $R…
Semistar Dedekind Domains
Said El Baghdadi, Marco Fontana, Giampaolo Picozza
Let be an integral domain and a semistar operation on . As a generalization of the notion of Noetherian domains to the semistar setting, we say that is a …
Star operations and Pullbacks
Marco Fontana, Mi Hee Park
In this paper we study the star operations on a pullback of integral domains. In particular, we characterize the star operations of a domain arising from a pullback of ``a general…
Essential domains and two conjectures in dimension theory
Marco Fontana, Salah Kabbaj
This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings, respectively, in the context of (locally) es…