query: What are the similarities and non-similarities between a module and vector space?
positive_passages.docid: 26244
positive_passages.text: Pathologies in module theory
negative_passages.docid: 124042
negative_passages.text: Why is a vector space equal to its tangent space for any point?
negative_passages.docid: 43814
negative_passages.text: What does it mean when a set is said to be a "finitely generated vector space"?
negative_passages.docid: 6101
negative_passages.text: Are $\mathbb{C} \otimes _\mathbb{R} \mathbb{C}$ and $\mathbb{C} \otimes _\mathbb{C} \mathbb{C}$ isomorphic as $\mathbb{R}$-vector spaces?
negative_passages.docid: 17
negative_passages.text: First Order Language for vector spaces over fields
negative_passages.docid: 72952
negative_passages.text: Uniqueness of a linear map on a basis of a vector space
negative_passages.docid: 52596
negative_passages.text: A basis for $k(X)$ regarded as a vector space over $k$
negative_passages.docid: 79526
negative_passages.text: How do I tell if matrices are similar?
negative_passages.docid: 123408
negative_passages.text: Why a subspace of a vector space is useful
negative_passages.docid: 69384
negative_passages.text: Are the following modules free and/or isomorphic?
negative_passages.docid: 74465
negative_passages.text: One-dimensional vector space and it's subspaces
negative_passages.docid: 28238
negative_passages.text: A question about long exact sequence of finite dim vector spaces
negative_passages.docid: 154625
negative_passages.text: $\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
negative_passages.docid: 44710
negative_passages.text: Vector space of real vectors over field complex scalars.
negative_passages.docid: 145719
negative_passages.text: Similarity between $A$ and $B (2\times 2)$.
negative_passages.docid: 140314
negative_passages.text: A module as an external direct product of the kernel and image of an idempotent function
negative_passages.docid: 114773
negative_passages.text: counterexamples on modules