Quotient rings of noncommutative rings in the first half of the 20th century. (Q1879475)
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scientific article; zbMATH DE number 2102334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quotient rings of noncommutative rings in the first half of the 20th century. |
scientific article; zbMATH DE number 2102334 |
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Quotient rings of noncommutative rings in the first half of the 20th century. (English)
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22 September 2004
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The author traces the development of the theorem that establishes necessary and sufficient conditions for a given ring to have a quotient ring, from its first version for non-commutative domains in the 1930s to Goldie's theorem in the late 1950s. The exposition is interesting, with many new informations.
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quotient rings
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Noetherian rings
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noncommutative domains
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quotient fields
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Ore domains
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Ore localizations
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