Source: wikibot/discrete-valuation-ring
= Discrete valuation ring
{wiki=Discrete_valuation_ring}
A discrete valuation ring (DVR) is a specific type of integral domain that has useful properties in algebraic geometry and number theory. Here are the key characteristics of a discrete valuation ring: 1. **Integral Domain**: A DVR is an integral domain, which means it is a commutative ring with no zero divisors and has a multiplicative identity (1 ≠ 0).