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- Centre National de la Recherche ScientifiqueFR9 papers
- University of Rome Tor VergataIT9 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma TreIT8 papers
- Sapienza University of RomeIT8 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT7 papers
- Centre de Physique ThéoriqueFR6 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT6 papers
- Charles UniversityCZ5 papers
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- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT4 papers
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…
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…
Complete integral closure and strongly divisorial prime ideals
Valentina Barucci, Stefania Gabelli, Moshe Roitman
It is well known that a domain without proper strongly divisorial ideals is completely integrally closed. In this paper we show that a domain without {\em prime} strongly divisoria…
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,…