Azumaya algebras split by real closure (Q1111620)
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scientific article; zbMATH DE number 4075239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Azumaya algebras split by real closure |
scientific article; zbMATH DE number 4075239 |
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Azumaya algebras split by real closure (English)
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1988
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An Azumaya algebra over a commutative ring C is real split if it is split by a real closure of the quotient field of C/p for some prime ideal p of C associated to an ordering of C. The authors study this real splitting property in connection with the arithmetical properties of certain commutative Galois extensions of C.
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Azumaya algebra
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real closure
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real splitting
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Galois extensions
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