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L -fuzzy ideal degrees in effect algebras

Xiaowei Wei, Fu Gui Shi (2022)

Kybernetika

In this paper, considering L being a completely distributive lattice, we first introduce the concept of L -fuzzy ideal degrees in an effect algebra E , in symbol 𝔇 e i . Further, we characterize L -fuzzy ideal degrees by cut sets. Then it is shown that an L -fuzzy subset A in E is an L -fuzzy ideal if and only if 𝔇 e i ( A ) = , which can be seen as a generalization of fuzzy ideals. Later, we discuss the relations between L -fuzzy ideals and cut sets ( L β -nested sets and L α -nested sets). Finally, we obtain that the L -fuzzy...

-sums and the Banach space / c

Christina Brech, Piotr Koszmider (2014)

Fundamenta Mathematicae

This paper is concerned with the isomorphic structure of the Banach space / c and how it depends on combinatorial tools whose existence is consistent with but not provable from the usual axioms of ZFC. Our main global result is that it is consistent that / c does not have an orthogonal -decomposition, that is, it is not of the form ( X ) for any Banach space X. The main local result is that it is consistent that ( c ( ) ) does not embed isomorphically into / c , where is the cardinality of the continuum, while ...

La créativité des définitions dans les systèmes para-euclidiens

Jean-Pierre Ginisti (1991)

Mathématiques et Sciences Humaines

Cet article considère trois sortes de calcul propositionnel (mais surtout la troisième), à la fois d'un point de vue logique et d'un point de vue épistémologique : (1) les systèmes classiques qui ont les propriétés suivantes : (a) chaque axiome doit contenir seulement (ou doit être compris comme contenant seulement) des termes primitifs, (b) chaque définition est métalinguistique, (c) chaque définition est non créatrice ; (2) les systèmes de Leśnieswski qui satisfont (a) mais ni (b) ni (c), une...

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