findElementOfDegree( n, R )
findElementOfDegree( l, R )
Given a singly graded ring and an integer $n$, this function tries to find an element of degree $n$. If successful, it returns a list with two elements {$a,b$} such that $a/b$ has degree $n$. If it is impossible, it gives an error. If instead of an integer, you pass it a basic list corresponding to a multi-degree, it still tries to find $a, b$ in R such that $a/b$ has the provided multidegree. It only works on rings with flattened variables (ie, no Rees algebras). First we do an example without multidegrees.
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We also do an example with multidegrees
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The object findElementOfDegree is a method function.