Any concrete example of ''right identity and left inverse do not imply a group''?
19683
Is a semigroup $G$ with left identity and right inverses a group?
92873
To prove in a Group Left identity and left inverse implies right identity and right inverse
130620
Identity type between A and B being non-empty implies non-emptiness of A and B?
57883
Example of a Subgroup That Is Not Normal
120911
Clarification on proof: Order of left cosets equal
42835
Example of a relation that is symmetric and transitive, but not reflexive
113413
How do I show that two groups are not isomorphic?
35401
Examples of finite groups that are not a semidirect product
58561
Right and left inverse
143629
Looking for insightful explanation as to why right inverse equals left inverse for square invertible  matrices
29930
right (opposite of left) connected to right (legal term)?
83981
How to prove those "curious identities"?
110726
Example of a non-gcd domain
5639
No \xrightrightarrow[a]{b}?
156342
When we can say a group can not be abelian
140190
Binary operation $xy$, has identity, but not associativity. Is the inverse unique?
148569
Embeddings $A → B → A$, but $A \not\cong B$?