Descent theory and Morita theory for ultrametric Banach modules
(1998) Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science —
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- Abstract
- In this paper we consider ultrametric Banach modules over commutative ultrametric Banach algebras with unit. We study the descent problem along a morphism f: R --> S of such algebras and show that descent morphisms coincide with weak retracts. We give further conditions for having an effective descent morphism or for having a Morita equivalence between the corresponding categories of ultrametric Banach modules.
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Borceux, F., & Grandjean, F. (1998). Descent theory and Morita theory for ultrametric Banach modules. Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science. https://doi.org/10.1023/A:1008689720752