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In mathematics, especially in the area of algebra known as ring theory, an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood. Elements of a Ore extension are called Ore polynomials.
Definition, Examples & Properties
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ore ring extension extensions called polynomial mathematics noncommutative vol theory skew rings algebras isbn mr properties elements algebra identity noetherian
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Ore extension | related to Definition | Suppose | 0.60 | section |
| Ore extension | related to Definition | Then | 0.60 | section |
| Ore extension | related to Definition | Ore | 0.60 | section |
| Ore extension | related to Examples | The Weyl | 0.60 | section |
| Ore extension | related to Examples | Ore | 0.60 | section |
| Ore extension | related to Examples | Gröbner | 0.60 | section |
| Ore extension | related to Further reading | Lock-green | 0.60 | section |
| Ore extension | related to Further reading | Lock-gray-alt-2 | 0.60 | section |
| Ore extension | related to Further reading | Lock-red-alt-2 | 0.60 | section |
| Ore extension | related to Further reading | Wikisource-logo | 0.60 | section |
| Ore extension | related to Further reading | Goodearl | 0.60 | section |
| Ore extension | related to Further reading | Warfield | 0.60 | section |
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