#7792 ⟨a, b | aaa=1, ababb=bb⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 10
- Infinite non-cancellative non-commutative monoid
- Element ba2 has infinite order
- Not right cancellative, because right multiplication by b is not injective:
-
(ab)2 ⋅ b = b2 and b ⋅ b = b2, however (ab)2 ≠ b
- Reduction order:
- Left-to-right shortlex with b < a
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaa=1,ababb=bb ba - -
aaa=1
aabb=babb
ababb=bb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 23307 | ⟨a, b | aaa=1, babb=aabb⟩ | φ(a) = a, φ(b) = b |