query: Example of an infinite semigroup where $\mathcal{D} \neq \mathcal{J}$
positive_passages.docid: 151009
positive_passages.text: semigroup in which Green's relations are different
negative_passages.docid: 97904
negative_passages.text: Example of infinite field of characteristic $p\neq 0$
negative_passages.docid: 83790
negative_passages.text: Why doesn't $d(x_n,x_{n+1})\rightarrow 0$ as $n\rightarrow\infty$ imply ${x_n}$ is Cauchy?
negative_passages.docid: 63701
negative_passages.text: An example of a regular function over an open set
negative_passages.docid: 76597
negative_passages.text: Examples of provably${}^n$ unprovable statements
negative_passages.docid: 26215
negative_passages.text: Proof Verification: Let $D=\{ \frac{1}{n} \mid n\in\mathbb{N} \} \cup\{0\} \subset \mathbb{E}^1$. Prove that $D$ is compact.
negative_passages.docid: 157765
negative_passages.text: What would a Cayley table of inverse semigroup look like?
negative_passages.docid: 21610
negative_passages.text: The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E
negative_passages.docid: 101095
negative_passages.text: Constructing an example s.t. $\operatorname{Hom}_R(M,N)$ is not finitely generated
negative_passages.docid: 108309
negative_passages.text: An example of a non-abelian group of order $p^3$
negative_passages.docid: 4383
negative_passages.text: Finitely generated monoids - how to show that there is not first order set axiomatizing them.
negative_passages.docid: 42615
negative_passages.text: Counter example for $F_n \downarrow F$ then $\int f_n d\mu \downarrow \int f d\mu$?
negative_passages.docid: 142887
negative_passages.text: Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..
negative_passages.docid: 110726
negative_passages.text: Example of a non-gcd domain
negative_passages.docid: 126065
negative_passages.text: Example $g\circ f=id_A$ but $f\circ g\neq id_B$
negative_passages.docid: 15839
negative_passages.text: equivalent norms in Banach spaces of infinite dimension
negative_passages.docid: 136094
negative_passages.text: $G_\delta$ singletons in compact Hausdorff and first countability