Direct product of fields with a geometric application

نویسندگان

چکیده

In this paper, the (infinite) direct product of fields is investigated. particular, finiteness a given set characterized in terms some ring-theoretic observations. Next, certain localization (whose multiplicative formed by cofinite sets) studied. Finally, it shown that every X can be made into separated scheme, and scheme an affine if only finite set.

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ژورنال

عنوان ژورنال: Journal of Algebra and Its Applications

سال: 2023

ISSN: ['1793-6829', '0219-4988']

DOI: https://doi.org/10.1142/s0219498824501895