THE SPACE OF FINITELY GENERATED RINGS
نویسندگان
چکیده
منابع مشابه
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 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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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2009
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196709005068