Motivic strict ring models for 𝐾-theory
| Autor: | Oliver Röndigs, Paul Arne Østvær, Markus Spitzweck |
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| Rok vydání: | 2010 |
| Předmět: |
Computer Science::Machine Learning
Noetherian Ring (mathematics) Pure mathematics Applied Mathematics General Mathematics Homotopy Order (ring theory) Commutative ring K-theory Computer Science::Digital Libraries Stable homotopy theory Algebra Statistics::Machine Learning Computer Science::Mathematical Software Krull dimension Mathematics |
| Zdroj: | Proceedings of the American Mathematical Society. 138:3509-3520 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/s0002-9939-10-10394-3 |
| Popis: | It is shown that theKK-theory of every noetherian base scheme of finite Krull dimension is represented by a commutative strict ring object in the setting of motivic stable homotopy theory. The adjective ‘strict’ is used here in order to distinguish between the type of ring structure we construct and one which is valid only up to homotopy. An analogous topological result follows by running the same type of arguments as in the motivic setting. |
| Databáze: | OpenAIRE |
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