query: example for algebraic but not finite dimensional vector space
positive_passages.docid: 146446
positive_passages.text: Infinite Degree Algebraic Field Extensions
negative_passages.docid: 59803
negative_passages.text: Converse of Schur's Lemma in finite dimensional vector spaces
negative_passages.docid: 52596
negative_passages.text: A basis for $k(X)$ regarded as a vector space over $k$
negative_passages.docid: 54333
negative_passages.text: In categorical terms, why is there no canonical isomorphism from a finite dimensional vector space to its dual?
negative_passages.docid: 93358
negative_passages.text: Find an example of a non-surjective field endomorphism
negative_passages.docid: 77036
negative_passages.text: Normed vector spaces over finite fields
negative_passages.docid: 150961
negative_passages.text: An example for a homomorphism that is not an automorphism
negative_passages.docid: 15811
negative_passages.text: Finding a basis for a certain vector space of periodic polynomials
negative_passages.docid: 116112
negative_passages.text: Examples of 'almost' vector spaces where unitary law fails
negative_passages.docid: 28402
negative_passages.text: Number of bases of an n-dimensional vector space over q-element field.
negative_passages.docid: 151467
negative_passages.text: An infinite generating set of a finite dimensional vector space contains a basis
negative_passages.docid: 29030
negative_passages.text: Vector space with new scalar multiplication defined over finite field still vector space?
negative_passages.docid: 127030
negative_passages.text: Simple example of non-arithmetic ring (non-distributive ideal lattice)
negative_passages.docid: 73573
negative_passages.text: image of polynomial map is not an algebraic set
negative_passages.docid: 18423
negative_passages.text: Subspace of Lindelöf space is not Lindelöf: Example
negative_passages.docid: 43503
negative_passages.text: Bases of complex vector spaces and the axiom of choice
negative_passages.docid: 111444
negative_passages.text: Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?