The Space of Finitely Generated Rings
نویسنده
چکیده
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 ωn, where ω 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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ورودعنوان ژورنال:
- IJAC
دوره 19 شماره
صفحات -
تاریخ انتشار 2009