Let R be a complete discrete valuation ring, with field of fractions K and residue field $\hat{K}$. Let S be a system of representatives of $\hat{K}$ in R.
Can someone please explain to me what a system of representatives is here?
2026-05-17 11:10:21.1779016221
What is a system of representatives of the residue field in its ring R?
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A set of elements of $R$ such that each class modulo the maximal ideal of $R$ contains exactly one element of the set.