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discrete valuation

noun

Definitions

  1. A valuation (on some field) that takes integer values (including infinity).

    • One of the few possibilities to extend some arithmetic aspects of number theory to more abstract fields is via valuation theory and, as a first step, we may restrict attention to discrete valuations.
    • Let k be a field with a nontrivial discrete valuation which is complete and has perfect residue field.

The neighborhood

Vish — recursive loop

No curated loop yet for discrete valuation. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA