query: Why is a projective module called "projective"?
positive_passages.docid: 149275
positive_passages.text: Origin of the terminology projective module
negative_passages.docid: 65333
negative_passages.text: Weighted projective space and projective space are isomorphic
negative_passages.docid: 7870
negative_passages.text: For $M\otimes_R N$, why is it so imperative that $M$ be a right $R$-module and $N$ a left $R$-module?
negative_passages.docid: 121246
negative_passages.text: Projective modules and $\hom(P,\cdot)$
negative_passages.docid: 22529
negative_passages.text: The support of a non finitely generated module
negative_passages.docid: 50114
negative_passages.text: A question about direct sums and products of modules
negative_passages.docid: 4624
negative_passages.text: Example of a finitely generated module with submodules that are not finitely generated
negative_passages.docid: 144122
negative_passages.text: A problem about an $R$-module that is both injective and projective.
negative_passages.docid: 27735
negative_passages.text: Morphism to Projective Space $\mathbb{P}^m$
negative_passages.docid: 34754
negative_passages.text: Why is the polynomial ring of more than one variable not a PID?
negative_passages.docid: 47630
negative_passages.text: Endomorphisms of modules satisfying chain conditions and counterexamples.
negative_passages.docid: 63541
negative_passages.text: Projective and injective modules; direct sums and products
negative_passages.docid: 126644
negative_passages.text: Simple module and homomorphisms
negative_passages.docid: 148111
negative_passages.text: Every $R$-module is projective if and only if every $R$-module is injective
negative_passages.docid: 139828
negative_passages.text: Finitely Presented Modules and Exact Sequences
negative_passages.docid: 142101
negative_passages.text: A direct product of projective modules which is not projective
negative_passages.docid: 70658
negative_passages.text: Isomorphism between quotient modules