query: Krull dimension of $K[[x]]$
positive_passages.docid: 158311
positive_passages.text: What is the dimension of $R[[X]]$ where $R$ is a Noetherian ring?
negative_passages.docid: 155621
negative_passages.text: Finiteness of the dimension of a normed space and compactness
negative_passages.docid: 55230
negative_passages.text: Dimension of set of commutable matrices
negative_passages.docid: 92585
negative_passages.text: If krull dimension is $0$, then all prime ideals are maximal?
negative_passages.docid: 74537
negative_passages.text: Maximal Ideals in $K[y]$
negative_passages.docid: 34712
negative_passages.text: Decomposable elements of $\Lambda^k(V)$
negative_passages.docid: 143429
negative_passages.text: Kernel of ring homomorphism $k[X,Y] \rightarrow k[t^2, t^3]$
negative_passages.docid: 140540
negative_passages.text: Infinite number of intermediate fields between K(u,v) and K
negative_passages.docid: 133561
negative_passages.text: show that if $K$ is a field then $K[x]$ is principal
negative_passages.docid: 70712
negative_passages.text: How to prove that $k[x, xy, xy^2, \dotsc]$ is not noetherian?
negative_passages.docid: 47537
negative_passages.text: Open nonempty subset of irreducible variety over $k$ has the same Krull dimension as the whole variety?
negative_passages.docid: 75829
negative_passages.text: Dimension of open subsets of $R^n$
negative_passages.docid: 100340
negative_passages.text: Invariant dimension property on a ring without zero divisors
negative_passages.docid: 148550
negative_passages.text: Units in quotient ring of $\mathbb Z[X]$
negative_passages.docid: 155066
negative_passages.text: Dimension of the quotient space $\frac{C_{0}}{M}.$
negative_passages.docid: 124467
negative_passages.text: Can $(X_1,X_2) \cap (X_3,X_4)$ be generated with two elements from $k[X_1,X_2,X_3,X_4]$?
negative_passages.docid: 122189
negative_passages.text: Show that $M[x]$ is a Noetherian $A[x]$-module.