Source: wikibot/ring-theory
= Ring theory
{wiki=Ring_theory}
Ring theory is a branch of abstract algebra that studies algebraic structures known as rings. A ring is a set equipped with two operations that generalize the arithmetic operations of addition and multiplication. Specifically, a ring \\( R \\) is defined by the following properties: 1. **Addition**: - The set \\( R \\) is closed under addition.