Some conditions which force Euclidean nearrings to be rings (Q2725234)
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scientific article; zbMATH DE number 1619022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some conditions which force Euclidean nearrings to be rings |
scientific article; zbMATH DE number 1619022 |
Statements
17 January 2002
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Euclidean nearrings
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classification of rings
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topological nearrings
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idempotents
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nilpotent elements
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JFM 48.0119.01
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Some conditions which force Euclidean nearrings to be rings (English)
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A Euclidean nearring is a topological nearring over the additive group of \(\mathbb{R}^n\). Adding other simple conditions, for example on centrality of idempotent or nilpotent elements, such a nearring is a ring. Some cases are sharply characterized by techniques rather similar to whose of old Italian papers, for example of C. Segre and of G. Scorza. See, as starting point the book [\textit{G. Scorza}, Corpi numerici ed algebre, Principato, Messina (1921; JFM 48.0119.01)].
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