query: Showing existence of a projective
positive_passages.docid: 146143
positive_passages.text: Question about proof that finite-dimensional subspaces of normed vector spaces are direct summands
negative_passages.docid: 40256
negative_passages.text: Why are these two descriptions of real n-dimensional projective space  the same?
negative_passages.docid: 51465
negative_passages.text: New, elegant proofs for $\varphi(p^{k})=p^{k}-p^{k-1}$
negative_passages.docid: 63465
negative_passages.text: Orthogonal Projection of $ z $ onto the Affine set $ \left\{ x \mid A x = b \right\} $
negative_passages.docid: 158583
negative_passages.text: Prove that if $M$ is an $R-$ projective left module then $M/IM$ is an $R/I-$ projective left module.
negative_passages.docid: 58028
negative_passages.text: Semisimplicity is equivalent to each simple left module is projective?
negative_passages.docid: 75104
negative_passages.text: Existence of some type matrix
negative_passages.docid: 151285
negative_passages.text: Existence of a local geodesic frame
negative_passages.docid: 6323
negative_passages.text: existence of complex structure in dimension 2
negative_passages.docid: 145865
negative_passages.text: Showing a set is an affine variety
negative_passages.docid: 151729
negative_passages.text: Existence of a unique polynomial
negative_passages.docid: 140938
negative_passages.text: Finitely generated projective module
negative_passages.docid: 57639
negative_passages.text: Show there exists an $\alpha\in F_{p^n}$ such that $\alpha +\alpha^p+\alpha^{p^2}+\cdots+\alpha^{p^{n-1}}\neq 0$
negative_passages.docid: 144122
negative_passages.text: A problem about an $R$-module that is both injective and projective.
negative_passages.docid: 131637
negative_passages.text: Real projective space is Hausdorff: is this proof correct?
negative_passages.docid: 20526
negative_passages.text: Show that $PF.PG=b^2$ in a hyperbola
negative_passages.docid: 123740
negative_passages.text: Conic in projective plane isomorphic to projective line