![Commutative algebra / Localization / Ring theory / Algebraic number theory / Valuation / Discrete valuation ring / Ramification / Discrete valuation / Residue field / Abstract algebra / Algebra / Field theory Commutative algebra / Localization / Ring theory / Algebraic number theory / Valuation / Discrete valuation ring / Ramification / Discrete valuation / Residue field / Abstract algebra / Algebra / Field theory](https://www.pdfsearch.io/img/e379156c3b6e000531c13ca4cc9d43b0.jpg)
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Country Japan / / / Facility Kyoto University / Research Institute / / Movie For the moment / / Organization Kyoto University / Kyoto / Institute for Mathematical Sciences / / Person Makoto Matsumoto / Toshiro Hiranouchi / / Position author / Coordinator / / ProvinceOrState Georgia / / RadioStation Core / /
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