query: Exact sequence of $A$-modules
positive_passages.docid: 16656
positive_passages.text: Atiyah and Macdonald, Proposition 2.9
negative_passages.docid: 66866
negative_passages.text: Algebraic dual of $\mathbb{R}^{\mathbb{N}}$
negative_passages.docid: 67633
negative_passages.text: Generic flatness on modules
negative_passages.docid: 123130
negative_passages.text: Showing an isomorphism between exterior products of a free module
negative_passages.docid: 111746
negative_passages.text: $(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.
negative_passages.docid: 124864
negative_passages.text: A not free $\mathbb{Z}$-module
negative_passages.docid: 103349
negative_passages.text: A question about a proof of Noetherian modules and exact sequences
negative_passages.docid: 41294
negative_passages.text: Permutation module of $S_n$
negative_passages.docid: 102072
negative_passages.text: Simple $M_n(D)$-module with $D$ a division ring
negative_passages.docid: 66806
negative_passages.text: A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
negative_passages.docid: 158232
negative_passages.text: Tensor product of a module with an ideal is isomorphic to their standard product
negative_passages.docid: 32172
negative_passages.text: Homomorphisms of graded modules
negative_passages.docid: 7645
negative_passages.text: Noetherian property for exact sequence
negative_passages.docid: 48519
negative_passages.text: Symmetric powers of modules
negative_passages.docid: 23392
negative_passages.text: The annihilator of a module is an ideal
negative_passages.docid: 42412
negative_passages.text: Singular homology $S^{n}$ with rational coefficients
negative_passages.docid: 36987
negative_passages.text: A criterion of flat modules