query: complete ring is always Hausdorff?
positive_passages.docid: 21604
positive_passages.text: A complete ring with respect to an ideal
negative_passages.docid: 30029
negative_passages.text: Can we always choose the generators of an ideal of a Noetherian ring to be homogeneous?
negative_passages.docid: 81423
negative_passages.text: Completeness and Topological Equivalence
negative_passages.docid: 91294
negative_passages.text: order of quotient ring
negative_passages.docid: 45971
negative_passages.text: Complete local ring which is not complete valuation ring
negative_passages.docid: 79779
negative_passages.text: How big can a separable Hausdorff space be?
negative_passages.docid: 66180
negative_passages.text: Homomorphism between compact Hausdorff spaces.
negative_passages.docid: 78228
negative_passages.text: Hausdorff Maximal Principle and Axiom of Choice
negative_passages.docid: 129243
negative_passages.text: Is $C_{c}^{\infty}[a,b]$ a complete metric space?
negative_passages.docid: 138309
negative_passages.text: Ring whose all ideals are double-sided is commutative?
negative_passages.docid: 18887
negative_passages.text: Euclidean domain in which the quotient and remainder are always unique
negative_passages.docid: 34668
negative_passages.text: Find all rings $R$ satisfying $\mathbb Z \subset R \subset \mathbb Z[\frac {1}{2}]$
negative_passages.docid: 79236
negative_passages.text: Topology on $\mathbb{R}$ strictly coarser (resp. finer) than the usual one which is still Hausdorff (resp. connected)
negative_passages.docid: 98818
negative_passages.text: Quotient ring of a localization of a ring
negative_passages.docid: 54236
negative_passages.text: Does every Abelian group admit a ring structure?
negative_passages.docid: 148112
negative_passages.text: Prove that a topological space equipped with a delta-complex structure is Hausdorff
negative_passages.docid: 118851
negative_passages.text: $X$ be a Hausdorff topological space , let $f:X \to X$ be a continuous map such that $f\circ f=f$ , then is $f(X)$ is closed in $X$ ?