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单词 Valuation Ring
释义

Valuation Ring

Let be a non-Archimedean valuated field. Its valuation ring is defined to be


The valuation ring has maximal Ideal


and the field is called the residue field, class field, or field of digits. For example, if (-adic numbers), then (-adic integers), (-adic integers congruent to 0 mod ), and = GF(), the Finite Field of order .
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更新时间:2025/4/6 8:49:59