The Krull filtration of the category of unstable modules over the Steenrod algebra
| Autor: | Nicholas J. Kuhn |
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| Rok vydání: | 2014 |
| Předmět: |
Algebraic properties
Pure mathematics Steenrod algebra General Mathematics Characterization (mathematics) Krull's principal ideal theorem Mathematics::K-Theory and Homology 55P47 (Primary) 18E10 (Secondary) FOS: Mathematics Filtration (mathematics) Algebraic Topology (math.AT) Mathematics - Algebraic Topology Krull dimension Mathematics |
| Zdroj: | Mathematische Zeitschrift. 277:917-936 |
| ISSN: | 1432-1823 0025-5874 |
| Popis: | In the early 1990's, Lionel Schwartz gave a lovely characterization of the Krull filtration of U, the category of unstable modules over the mod p Steenrod algebra. Soon after, this filtration was used by the author as an organizational tool in posing and studying some topological nonrealization conjectures. In recent years the Krull filtration of U has been similarly used by Castellana, Crespo, and Scherer in their study of H--spaces with finiteness conditions, and Gaudens and Schwartz have given a proof of some of my conjectures. In light of these topological applications, it seems timely to better expose the algebraic properties of the Krull filtration. 21 pages |
| Databáze: | OpenAIRE |
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