148 citations · 221 across the 25 of their papers we have counts for
5 papers · 2 filters
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…
Semistar linkedness and flatness, Prüfer semistar multiplication domains
Said El Baghdadi, Marco Fontana
In 1994, Matsuda and Okabe introduced the notion of semistar operation, extending the "classical" concept of star operation. In this paper, we introduce and study the notions of se…
Local--Global Properties for Semistar Operations
Marco Fontana, Pascual Jara, Eva Santos
We study the "local" behavior of several relevant properties concerning semistar operations, like finite type, stable, spectral, e.a.b. and a.b. We deal with the "global" problem o…
Nagata Rings, Kronecker Function Rings and Related Semistar Operations
Marco Fontana, K. Alan Loper
In 1994, Matsuda and Okabe introduced the notion of semistar operation. This concept extends the classical concept of star operation (cf. for instance, Gilmer's book \cite{G}) and,…