query: Finitely generated module
positive_passages.docid: 4624
positive_passages.text: Example of a finitely generated module with submodules that are not finitely generated
negative_passages.docid: 67633
negative_passages.text: Generic flatness on modules
negative_passages.docid: 148828
negative_passages.text: Submodule of a free module
negative_passages.docid: 139861
negative_passages.text: Support of a module with extended scalars
negative_passages.docid: 47630
negative_passages.text: Endomorphisms of modules satisfying chain conditions and counterexamples.
negative_passages.docid: 104747
negative_passages.text: Does localisation commute with Hom for finitely-generated modules?
negative_passages.docid: 145758
negative_passages.text: Are submodules of finitely generated free modules always free?
negative_passages.docid: 140314
negative_passages.text: A module as an external direct product of the kernel and image of an idempotent function
negative_passages.docid: 17304
negative_passages.text: Tensor product of two finitely-generated modules over a local ring is zero
negative_passages.docid: 158062
negative_passages.text: Sum of free submodules of a module over a PID
negative_passages.docid: 102938
negative_passages.text: $\Bbb F_2[X]$ modules with 8 elements
negative_passages.docid: 80879
negative_passages.text: Can a quotient field ever be finitely generated as an algebra?
negative_passages.docid: 150206
negative_passages.text: Every finitely generated algebra over a field is a Jacobson ring
negative_passages.docid: 72350
negative_passages.text: Constructing Idempotent Generator of Idempotent Ideal
negative_passages.docid: 8417
negative_passages.text: Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
negative_passages.docid: 34065
negative_passages.text: Submodule of free module over a p.i.d. is free even when the module is not finitely generated?
negative_passages.docid: 126644
negative_passages.text: Simple module and homomorphisms