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Paper detail

The space of finitely generated rings

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.

preprint2009arXivOpen access
Yves Cornulier
math.AC
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Yves Cornulier

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