Category:Factorization

From ProofWiki
Jump to navigation Jump to search

This category contains results about factorisation in integral domains.
Definitions specific to this category can be found in Definitions/Factorization.

Let $x, y \in D$ where $\struct {D, +, \times}$ is an integral domain.

Let $x$ be a divisor of $y$.


Then by definition it is possible to find some $t \in D$ such that $y = t \times x$.


The act of breaking down such a $y$ into the product $t \circ x$ is called factorization.