The free \(A\)-ring is a graded \(A\)-ring (Q687881)
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scientific article; zbMATH DE number 436746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The free \(A\)-ring is a graded \(A\)-ring |
scientific article; zbMATH DE number 436746 |
Statements
The free \(A\)-ring is a graded \(A\)-ring (English)
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9 June 1994
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Let \(K\) be a commutative ring and \(A\) a \(K\)-algebra. The author defines the tensor \(A\)-ring on a set \(X: A_ K\langle X\rangle\) which he calls the free \(A\)-ring, proves the expected universal property and shows that it is graded as an \(A\)-ring. (In addition to one source referred to in the text, the bibliography contains 31 items, none dated after 1969).
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graded \(A\) ring
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tensor \(A\)-ring
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free \(A\)-ring
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universal property
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