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Algebre di Łukasiewicz quasi-locali Stoneane

Francesco Lacava — 2001

Bollettino dell'Unione Matematica Italiana

We prove some properties of quasi-local Ł-algebras. These properties allow us to give a structure theorem for Stonean quasi-local Ł-algebras. With this characterization we are able to exhibit an example which provides a negative answer to the first problem posed in [4].

Teoria dei campi differenziali ordinati

Francesco Lacava — 1975

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this paper we study the theory of ordered differential fields (CDO); in other words, the theory obtained adding the order axioms for a field to "differential field" 's axioms. If we consider a model K of such theory and we "forget" order, we know that such model is embedded in its differential closure. In a such closure, we can consider the set of real fields. Such a set has maximal elements (with respect to inclusion). We call CDO* the theory of so obtained maximal elements, for all K M o d (CDO)....

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