منابع مشابه
Dimension de krull des ensembles ordonnes
The notion of deviation of an ordered set has been introduced by Gabriel as a tool to classify rings. It measures how far a given ordered set P deviates from ordered sets satisfying the descending chain condition. We consider here a more general notion and, according to Robson, we define the Krull dimension of P as the deviation of the collection F(P) of its final segments ordered by inclusion....
متن کاملKrull Dimension in Modal Logic
We develop the theory of Krull dimension for S4-algebras and Heyting algebras. This leads to the concept of modal Krull dimension for topological spaces. We compare modal Krull dimension to other well-known dimension functions, and show that it can detect differences between topological spaces that Krull dimension is unable to detect. We prove that for a T1-space to have a finite modal Krull di...
متن کاملLa filtration de Krull de la catégorie U et la cohomologie des espaces
Cet article démontre une variante d’une conjecture due à N. Kuhn. Cette conjecture s’exprime à l’aide de la filtration de Krull de la catégorie U des modules instables. Notons Un , n ≥ 0, le n-ième terme de cette filtration. La catégorie U est la plus petite sous catégorie épaisse contenant les catégories Un et stable par colimite [7]. La catégorie U0 est celle des modules localement finis, c’e...
متن کاملTopological and Logical Explorations of Krull Dimension
Krull dimension measures the depth of the spectrum Spec(R) of a commutative ring R. Since Spec(R) is a spectral space, Krull dimension can be defined for spectral spaces. Utilizing Stone duality, it can also be defined for distributive lattices. For an arbitrary topological space, the notion of Krull dimension is less useful. Isbell [23] remedied this by introducing the concept of graduated dim...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1985
ISSN: 0012-365X
DOI: 10.1016/0012-365x(85)90141-4