Nilpotence for modules over the mod 2 Steenrod algebra. I
type: Item
instance of: scholarly article
title: Nilpotence for modules over the mod 2 Steenrod algebra. I
zbMATH Open document ID: 0876.55012
DOI: 10.1215/S0012-7094-96-08208-3
author: John H. Palmieri
published in: Duke Mathematical Journal
publication date: 1997-11-13T00:00:00Z
review text: Let \(A\) be the mod 2 Steenrod algebra and let \(M\) be a finite \(A\)-module. This paper characterizes the nilpotent elements of \(\text{Ext}^{**}_{A}(M,M)\) as those elements \(z\) such that for all elementary sub-Hopf algebras \(E\) of \(A\) the images \(i_{E}(z)\) are nilpotent.
Mathematics Subject Classification ID: 55S10
zbMATH DE Number: 908686
zbMATH Keywords: Hopf algebra
zbMATH Keywords: Yoneda composition
zbMATH Keywords: nilpotence
zbMATH Keywords: Steenrod algebra
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 908686