Tag Archives: integral domain

Generators of Principal Ideals and Unit Association

Let us ponder a familiar property of any integral domain $R$. Suppose that $a,b\in R$ are such that $(a) = (b)$, where $(a)$ denotes the ideal generated by $a$. Then $a = rb$ and $b = sa$ for some elements $r,s\in R$. Combining these two facts together […]