Partially ordered ring
= Partially ordered ring
{wiki=Partially_ordered_ring}
A *partially ordered ring* is a mathematical structure that combines the properties of a ring and a partially ordered set. To elaborate, a structure \\( (R, +, \\cdot) \\) is called a partially ordered ring if it satisfies the following conditions: 1. **Ring Structure**: - \\( (R, +) \\) is an abelian group, which means that addition is commutative, associative, and each element has an additive inverse.