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arXiv · 1306.6072

The Krull filtration of the category of unstable modules over the Steenrod algebra

Nicholas J. Kuhn
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Abstract

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.

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Nicholas J. Kuhn. 2013-06-25. The Krull filtration of the category of unstable modules over the Steenrod algebra. https://arxiv.org/abs/1306.6072

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