$\left\langle A,\leq_{A}\right\rangle $ is a totally ordered set with the property that $\{b\in A\mid b\leq_{A}a\}$ is finite for each $a \in A$
33008
Linear order where every initial segment is finite
120522
Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
107207
$A\subseteq B\subseteq C$ ring extensions, $A\subseteq C$ finite/finitely-generated $\Rightarrow$ $A\subseteq B$ finite/finitely-generated?
148992
A finite set is closed
151928
How to prove that $N\setminus A$ is finite?
149673
Cardinality of an infinite union of finite sets
157412
Left cosets and right cosets
56878
Proof that $a\mid b \land b\mid c \Rightarrow a\mid c $
158282
Finite order of an element $f(g)$ of a homomorphism $f$
119180
How to prove that the set $A = \left\{ {p:{p^2} < 2,p \in {\Bbb Q^+}} \right\}$ has no greatest element?
53707
Prove that if $A$ is an infinite set then $A \times 2$ is equipotent to $A$
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
134071
If A is a finite set and B is an infinite set, then B\A is an infinite set
121860
Number of well-ordering relations on a well-orderable infinite set $A$?
145406
Prove every element of $G$ has finite order.
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
128437
How to prove that a finite set is countable