Notes on Dedekind Rings
نویسنده
چکیده
These notes record the basic results about DVR’s (discrete valuation rings) and Dedekind rings, with at least sketches of the non-trivial proofs, none of which are hard. This is standard material that any educated mathematician with even a mild interest in number theory should know. It has often slipped through the cracks of Chicago’s first year graduate program, but then we would need at least three years to cover all of the basic algebra that every educated mathematician should know. Throughout these notes, R is an integral domain with field of fractions K.
منابع مشابه
ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
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