query: A question (given as an image) on how to show a polynomial ring is equal to a principal ideal.
positive_passages.docid: 17075
positive_passages.text: Show an Ideal is the principal ideal for some polynomial.
negative_passages.docid: 52966
negative_passages.text: Rings, ideals and units-proof
negative_passages.docid: 62951
negative_passages.text: Is there a more direct way of proving that this ring is an integral domain?
negative_passages.docid: 33245
negative_passages.text: Show that every ideal of the ring $\mathbb Z$ is principal
negative_passages.docid: 108380
negative_passages.text: Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
negative_passages.docid: 128213
negative_passages.text: What's the projective limit of these polynomial rings ?
negative_passages.docid: 137610
negative_passages.text: Finding the field of fractions of a quotient of a polynomial ring.
negative_passages.docid: 33576
negative_passages.text: Non-principal ideal in $K[x,y]$?
negative_passages.docid: 147667
negative_passages.text: Polynomial ring isomorphisms
negative_passages.docid: 110022
negative_passages.text: Showing prime and maximal ideal
negative_passages.docid: 31585
negative_passages.text: Primary ideals of $\mathbb{Z}$
negative_passages.docid: 3604
negative_passages.text: If F is a field, then $F[x,y]$ is a Principal Ideal Domain?
negative_passages.docid: 34183
negative_passages.text: An equivalent condition with $\{0\}$ being the only nilpotent ideal
negative_passages.docid: 49875
negative_passages.text: Question on Comaximal Ideals
negative_passages.docid: 58425
negative_passages.text: Defining the Product of Ideals
negative_passages.docid: 116883
negative_passages.text: About ideals in a ring which is a $k$ vector space
negative_passages.docid: 118532
negative_passages.text: Nilradical of polynomial ring