Generalises [[Divisibility in Integers|divisibility in the integers]]. # Definition(s) > [!NOTE] Definition (Divisibility in Integral Domain) > Let $R$ be an [[Integral Domain|integral domain]]. Let $a,b\in R$. We say that $a$ divides $b$, denoted $a\mid b$, if $b=ac$ for some $c\in R$. > [!Example] Example > The polynomials $x$ and $2x$ are associates in $\mathbb{R}[X]$. # Properties(s) # Application(s) **More examples**: # Reference(s)