Roma Tre University

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most citedAchieving transparency with plasmonic coatings

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math.AC2008★ 1 cited

On $v$ --domains and star operations

D. D. Anderson, David F. Anderson, Marco Fontana +1

Let $*$ be a star operation on an integral domain $D$ . Let $\f(D)$ be the set of all nonzero finitely generated fractional ideals of $D$ . Call $D$ a $*$ --Prüfer (respectively…

math.AC2008

Unique representation domains, II

Said El Baghdadi, Stefania Gabelli, Muhammad Zafrullah

Given a star operation * of finite type, we call a domain R a *-unique representation domain (*-URD) if each *-invertible *-ideal of R can be uniquely expressed as a *-product of p…

math.AC2007

The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring

Marco Fontana, K. Alan Loper

Let R be a commutative ring and let Spec(R) denote the collection of prime ideals of R. We define a topology on Spec(R) by using ultrafilters and demonstrate that this topology is…

math.AC2007

Uppers to zero and semistar operations in polynomial rings

Gyu Whan Chang, Marco Fontana

Given a stable semistar operation of finite type $⋆$ on an integral domain $D$ , we show that it is possible to define in a canonical way a stable semistar operation of finite t…

math.AC2005

On the Star Class Group of a Pullback

Marco Fontana, Mi Hee Park

For the domain $R$ arising from the construction $T, M, D$ , we relate the star class groups of $R$ to those of $T$ and $D$ . More precisely, let $T$ be an integral domain, $M$ a nonz…

math.AC2004

w-Divisorial Domains

Said El Baghdadi, Stefania Gabelli

We study the class of domains in which each w-ideal is divisorial, extending several properties of divisorial and totally divisorial domains to a much wider class of domains. In pa…