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| HAL: hal-00435181, version 1 |
| Detailed view |  Export this paper |
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| International Journal of Algebra and Computation 19, 3 (2009) 373-382 |
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| The space of finitely generated rings |
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| Yves de Cornulier 1 |
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| (2009) |
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| The space of marked commutative rings on n given generators is a compact metrizable space. We compute the Cantor-Bendixson rank of any member of this space. For instance, the Cantor-Bendixson rank of the free commutative ring on n generators is omega(n), where omega is the smallest infinite ordinal. More generally, we work in the space of finitely generated modules over a given commutative ring. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Subject | : | Mathematics/Probability |
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| Cantor-Bendixson rank – Krull dimension – ordinal length – noetherian – modules – finitely generated rings – length |
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| hal-00435181, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00435181 | |
| oai:hal.archives-ouvertes.fr:hal-00435181 | |
| From: Maryse Collin | |
| Submitted on: Monday, 23 November 2009 17:20:11 | |
| Updated on: Monday, 23 November 2009 17:20:11 | |
