Is there a Totally Ordered Set which the only order-isomorphism to itself is the Identity? And the set and its inverse are not well ordered
61048
Is this a characterization of well-orders?
56492
Does the order of $f(x)$ divide the order of $x$ if $f$ is a group homomorphism?
83710
Order of a homomorphism of groups
60306
Natural class of functions whose $\mathcal O$-sets are linearly ordered
132868
Bijection between an infinite set and its union of a countably infinite set
67066
Proof there is a 1-1 correspondence between an uncountable set and itself minus a countable part of it
126569
Can we find a well ordering on an infinite set with no largest element?
46875
The identity morphism in $\mathbf{Set}$ is the identity function
81238
Is $O(2)$ really not isomorphic to $SO(2)\times \{-1,1\}$?
19924
Uncountable ordinals without power set axiom
82169
Why does a partially ordered set need to be reflexive?
140799
Prove that there exist uncountable family of subsets of $\mathbb{N}$ which is linearly (totally) ordered by relation of inclusion.
9074
Example of non-isomorphic structures which are elementarily equivalent
98734
Order of a product of elements in a generic group
13289
Order of Double Coset
56234
Isomorphism $f$ preserves the order of an element?
147659
Counterexample to "if $f:A\to A$ induces the identity $\hat f:\operatorname{Spec}(A)\to\operatorname{Spec}(A)$, then $f=\operatorname{id}_A$"