query: Tensor product of $\mathbb{Q}$ with an infinite product
positive_passages.docid: 21992
positive_passages.text: Examples proving why the tensor product does not distribute over direct products.
negative_passages.docid: 77620
negative_passages.text: Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
negative_passages.docid: 2719
negative_passages.text: Why isn't an infinite direct product of copies of $\Bbb Z$ a free module?
negative_passages.docid: 107370
negative_passages.text: An open covering of $\mathbb{Q} \cap [0,1]$ that does not contain any finite subcovering
negative_passages.docid: 157236
negative_passages.text: Tensor product of modules.
negative_passages.docid: 137373
negative_passages.text: Real Cyclic Extensions of $\mathbb Q$ of given degree
negative_passages.docid: 16512
negative_passages.text: Product of $T_1$ spaces is $T_1$
negative_passages.docid: 89990
negative_passages.text: Direct limit of arbitrary family of tensor products of A-algebras
negative_passages.docid: 129827
negative_passages.text: Product of invertibles in $\Bbb Z_n$ [Wilson's Theorem generalization]
negative_passages.docid: 158343
negative_passages.text: how to prove an element is non-zero in a tensor-product
negative_passages.docid: 61038
negative_passages.text: Understanding the Details of the Construction of the Tensor Product
negative_passages.docid: 54847
negative_passages.text: Definition of the Infinite Cartesian Product
negative_passages.docid: 17748
negative_passages.text: Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
negative_passages.docid: 108601
negative_passages.text: Show structure of a commutative ring in a tensor product
negative_passages.docid: 81124
negative_passages.text: Infinite product problem: $\sum p_n0$
negative_passages.docid: 141258
negative_passages.text: Why does $M \mathbin{\otimes_R} N \cong M_\mathfrak{p} \mathbin{\otimes_{R_\mathfrak{p}}} N$?
negative_passages.docid: 147585
negative_passages.text: Tensor Product of the fraction field of the Gaussian Integers