query: Submodule and direct sum
positive_passages.docid: 35745
positive_passages.text: Question about a submodule
negative_passages.docid: 4097
negative_passages.text: Maximum sum sublist?
negative_passages.docid: 157236
negative_passages.text: Tensor product of modules.
negative_passages.docid: 18329
negative_passages.text: How do I remove a submodule?
negative_passages.docid: 9424
negative_passages.text: Collapse multiple submodules to one Cython extension
negative_passages.docid: 143069
negative_passages.text: What are the direct summands in $\mathbb{Z}^n$?
negative_passages.docid: 55621
negative_passages.text: Show that if $c_1, c_2, \ldots, c_{\phi(m)}$ is a reduced residue system modulo m, $m \neq 2$ then $c_1 + \cdots+ c_{\phi(m)} \equiv 0 \pmod{m}$
negative_passages.docid: 39049
negative_passages.text: Ring With Unity As a Direct Sum of Non-Zero Ideals
negative_passages.docid: 136804
negative_passages.text: Computing $\mathrm{Hom}(\mathbb Z_n,\mathbb Z_m)$ as $\mathbb Z$-module
negative_passages.docid: 63541
negative_passages.text: Projective and injective modules; direct sums and products
negative_passages.docid: 87397
negative_passages.text: Show that $a^2 \bmod b = (a \bmod b)^2 \bmod b$
negative_passages.docid: 124864
negative_passages.text: A not free $\mathbb{Z}$-module
negative_passages.docid: 8417
negative_passages.text: Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
negative_passages.docid: 84965
negative_passages.text: Subscripts - Why do I see the error "only assignments to symbols are allowed" when using a Module and not otherwise?
negative_passages.docid: 110703
negative_passages.text: How Can I prove (a+b) mod m = (a mod m) + (b mod m)) mod m?
negative_passages.docid: 21466
negative_passages.text: $P$ is projective . Show that $P$ is a direct summand of a free $R-$ module
negative_passages.docid: 113259
negative_passages.text: The confusing nature of direct sum for finite abelian groups