On commutative associative projective algebras of rank two over a perfect field (Q1101515)
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scientific article; zbMATH DE number 4045898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On commutative associative projective algebras of rank two over a perfect field |
scientific article; zbMATH DE number 4045898 |
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On commutative associative projective algebras of rank two over a perfect field (English)
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1987
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For any field A, a projective algebra over A is a projective object in the category of all commutative A-algebras. The main result: let A be a perfect field, and let B be a projective A-algebra of Krull dimension 2; then \(B\simeq A[x_ 1,x_ 2]\).
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projective object
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Krull dimension
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