query: A direct product of projective modules
positive_passages.docid: 142101
positive_passages.text: A direct product of projective modules which is not projective
negative_passages.docid: 41294
negative_passages.text: Permutation module of $S_n$
negative_passages.docid: 80302
negative_passages.text: A module $M$ whose submodules and factor modules are semisimple but not semisimple itself
negative_passages.docid: 37479
negative_passages.text: Proper submodules of Noetherian modules are intersections of indecomposable modules
negative_passages.docid: 158232
negative_passages.text: Tensor product of a module with an ideal is isomorphic to their standard product
negative_passages.docid: 30236
negative_passages.text: isomorphic groups related in direct product.
negative_passages.docid: 141477
negative_passages.text: Decomposition of finitely generated graded modules over PID
negative_passages.docid: 41180
negative_passages.text: Arbitrary products of quasi-coherent sheaves?
negative_passages.docid: 102072
negative_passages.text: Simple $M_n(D)$-module with $D$ a division ring
negative_passages.docid: 126644
negative_passages.text: Simple module and homomorphisms
negative_passages.docid: 145700
negative_passages.text: Module isomorphic to second dual
negative_passages.docid: 153852
negative_passages.text: Example of modules that are projective but not free; torsion-free but not free
negative_passages.docid: 16945
negative_passages.text: Finding the Ideals of a Direct Product of Rings
negative_passages.docid: 79591
negative_passages.text: Exact Sequences of Modules and Rank
negative_passages.docid: 36987
negative_passages.text: A criterion of flat modules
negative_passages.docid: 74445
negative_passages.text: Noetherian and Artinian modules
negative_passages.docid: 25609
negative_passages.text: Multiplicity of G-module