Deuxième colloque sur l'algèbre des catégories. Amiens-1975. Résumés des conférences
(1975)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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(1975)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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(1973)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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(2005)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Aurélien Djament (2016)
Fundamenta Mathematicae
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We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors (notion introduced by Djament and Vespa) from a small symmetric monoidal category whose unit is an initial object to an abelian category. We prove in particular that the category of polynomial functors from the category of free abelian groups ℤⁿ with split monomorphisms to abelian groups is "almost" locally noetherian. We...
Behrends, Ehrhard
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Anderson, R. D.
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Istvan Fary (1965)
Séminaire Ehresmann. Topologie et géométrie différentielle
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Wacław Sierpiński (1949)
Fundamenta Mathematicae
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Walter Rudin (1975)
Annales de l'institut Fourier
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A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that is a closed subalgebra of . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.