The Lasker-Noether theorem in the category \({\mathcal U}(H^*)\) (Q5946834)
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scientific article; zbMATH DE number 1660391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lasker-Noether theorem in the category \({\mathcal U}(H^*)\) |
scientific article; zbMATH DE number 1660391 |
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The Lasker-Noether theorem in the category \({\mathcal U}(H^*)\) (English)
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19 March 2002
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The Lasker-Noether theorem is concerned with the existence of primary decompositions. The author proves the existence of such a decomposition for submodules of unstable Noetherian modules over unstable Noetherian algebras. The adjective `unstable' denotes the presence of an unstable action of the Steenrod algebra which is required to be compatible, in an appropriate way, with all other structures present.
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unstable modules
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Steenrod algebra
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primary decompositions
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Noetherian modules
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unstable Noetherian algebras
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