A monoid where square of all elements are 1 is abelian
20679
Prove that if $g^2=e$ for all $g$ in $G$ then $G$ is Abelian.
74278
give a counterexample of monoid
124374
A bijective function between a square and its side
85379
Semigroup analogue to the classification of finite simple groups?
152630
showing that a group of order 45 is abelian
29538
Does a non-abelian semigroup without identity exist?
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
35369
Monoid / semigroup with cancellation property $ ab=ac\Rightarrow b = c,$ $\ ba = ca\Rightarrow b = c$
65900
Show that a finite group with certain automorphism is abelian
32516
show that rational numbers with the multipiciation are not abelian finitely generated group
81354
The product of all the elements of a finite abelian group
66806
A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
121765
Semigroups and solutions of equation
7079
ord $(b)|\max\{\text{ord}(g)|g\in G\}$ for all $b\in G\,$ a finite abelian group
142887
Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..
34712
Decomposable elements of $\Lambda^k(V)$
68128
Two term free resolution of an abelian group.