Modular arithmetic: Difference between revisions

The corresponding set of [[wp:equivalence class|equivalence class]]es forms a [[wp:ring (mathematics)|ring]] denoted <math>\frac{\Z}{p\Z}</math>. When p is a prime number, this ring becomes [[wp:field (mathematics)|field]] denoted <math>\mathbb{F}_p</math>, but you won't have to implement the [[wp:multiplicative inverse|multiplicative inverse]] for this task.

Addition and multiplication on this ring have the same algebraic structure as in usual arithmeticsarithmetic, so that a function such as a polynomial expression could receive a ring element as argument and give a consistent result.