query: a f.g., projective, non free $R-$module
positive_passages.docid: 153852
positive_passages.text: Example of modules that are projective but not free; torsion-free but not free
negative_passages.docid: 17304
negative_passages.text: Tensor product of two finitely-generated modules over a local ring is zero
negative_passages.docid: 121246
negative_passages.text: Projective modules and $\hom(P,\cdot)$
negative_passages.docid: 30465
negative_passages.text: Determining which rings have a module which is not semisimple
negative_passages.docid: 52992
negative_passages.text: Proving that P/PJ is a projective right module over R/J
negative_passages.docid: 39728
negative_passages.text: integral cohomology ring of real projective space
negative_passages.docid: 117211
negative_passages.text: Infinite linear independent family in a finitely generated $A$-module
negative_passages.docid: 145758
negative_passages.text: Are submodules of finitely generated free modules always free?
negative_passages.docid: 101473
negative_passages.text: Tensor product of a sheaf of module and a residue field
negative_passages.docid: 29359
negative_passages.text: Localisation isomorphic to a quotient of polynomial ring
negative_passages.docid: 121008
negative_passages.text: A non-noetherian ring with all localizations noetherian
negative_passages.docid: 74445
negative_passages.text: Noetherian and Artinian modules
negative_passages.docid: 6646
negative_passages.text: A (non-artificial) example of a ring without maximal ideals
negative_passages.docid: 117005
negative_passages.text: Rules in the ring with coefficients in finite field $\mathbb{F}_p$
negative_passages.docid: 69384
negative_passages.text: Are the following modules free and/or isomorphic?
negative_passages.docid: 137029
negative_passages.text: Prove that $\operatorname{Hom}_{\Bbb{Z}}(\Bbb{Q},\Bbb{Z}) = 0$ and show that $\Bbb{Q}$ is not a projective $\Bbb{Z}$-module.
negative_passages.docid: 139828
negative_passages.text: Finitely Presented Modules and Exact Sequences