query: Describe all $R$-modules of low order (up to isomorphism)
positive_passages.docid: 17978
positive_passages.text: Isomorphism classes of $\mathbb{Z}[i]$ modules.
negative_passages.docid: 4652
negative_passages.text: Is $V$ a simple $\text{End}_kV$-module?
negative_passages.docid: 28518
negative_passages.text: Hom of finitely generated modules over a noetherian ring
negative_passages.docid: 150986
negative_passages.text: For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
negative_passages.docid: 93017
negative_passages.text: Isomorphism between $\Bbb R$ and $\Bbb R(X)$?
negative_passages.docid: 109080
negative_passages.text: Is the kernel of a map to a finitely presented module finitely generated?
negative_passages.docid: 148828
negative_passages.text: Submodule of a free module
negative_passages.docid: 12474
negative_passages.text: Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?
negative_passages.docid: 144122
negative_passages.text: A problem about an $R$-module that is both injective and projective.
negative_passages.docid: 102938
negative_passages.text: $\Bbb F_2[X]$ modules with 8 elements
negative_passages.docid: 41294
negative_passages.text: Permutation module of $S_n$
negative_passages.docid: 33063
negative_passages.text: Are all simple left modules over a simple left artinian ring isomorphic?
negative_passages.docid: 47086
negative_passages.text: Quotient rings and free modules
negative_passages.docid: 111034
negative_passages.text: Why an R-module is an R/I-module precisely when it is annihilated by I?
negative_passages.docid: 74974
negative_passages.text: When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
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: 67633
negative_passages.text: Generic flatness on modules