query: When is $x \otimes y = y \otimes x$?
positive_passages.docid: 150885
positive_passages.text: $v \otimes v' = v' \otimes v$ implies $v = av'$
negative_passages.docid: 80892
negative_passages.text: Does $\wp(A \cap B) = \wp(A) \cap \wp(B)$ hold? How to prove it?
negative_passages.docid: 22821
negative_passages.text: May $y=e^x$ be satisfied with both $x$ and $y$ $\in$ $\mathbb{Z}^+$?
negative_passages.docid: 17191
negative_passages.text: How to verify $H\otimes K \cong \bigoplus\limits_{i\in I}H$
negative_passages.docid: 48524
negative_passages.text: Existence proof of the tensor product using the Adjoint functor theorem.
negative_passages.docid: 157597
negative_passages.text: Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
negative_passages.docid: 28088
negative_passages.text: When is $f_{xy}(x,y)\neq f_{yx}(x,y)?$
negative_passages.docid: 74713
negative_passages.text: Show that for any natural numbers, if $S(x)=S(y)$ then $x=y$.
negative_passages.docid: 134880
negative_passages.text: Is there a difference between $y(x)$ and $f(x)$
negative_passages.docid: 128108
negative_passages.text: $Y=\prod_{n\in\mathbb{N}}X$.
negative_passages.docid: 38412
negative_passages.text: Basis for tensor products
negative_passages.docid: 74884
negative_passages.text: Tensor product in dual-space
negative_passages.docid: 36747
negative_passages.text: $\text{Tor}_0^R(M,N)\simeq M\otimes_R N$
negative_passages.docid: 21782
negative_passages.text: Is $\aleph_0 = \mathbb{N}$?
negative_passages.docid: 16172
negative_passages.text: My proof of $I \otimes N \cong IN$ is clearly wrong, but where have I gone wrong?
negative_passages.docid: 3902
negative_passages.text: Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?
negative_passages.docid: 153355
negative_passages.text: Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?