Identities all Self-Inverse
From ProofWiki
Theorem
A left identity, a right identity and an identity are all self-inverse.
Proof
This was demonstrated in Identities are Idempotent.
$\blacksquare$
Sources
- J.A. Green: Sets and Groups (1965)... (previous)... (next): $\S 4.6$: Example $85$
- Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978)... (previous)... (next): $\S 31$
- Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978)... (previous)... (next): $\S 35.4$
