Nilpotence for modules over the mod 2 Steenrod algebra. I (Q1919621)
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scientific article; zbMATH DE number 908686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotence for modules over the mod 2 Steenrod algebra. I |
scientific article; zbMATH DE number 908686 |
Statements
Nilpotence for modules over the mod 2 Steenrod algebra. I (English)
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13 November 1997
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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.
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Hopf algebra
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Yoneda composition
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nilpotence
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Steenrod algebra
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