#7199 ⟨a, b | bb=aa, aba=aab⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 10
- Infinite non-cancellative non-commutative monoid
- Element a has infinite order
- Not left cancellative, because left multiplication by a is not injective:
-
a ⋅ ba = a2b and a ⋅ ab = a2b, however ba ≠ ab
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:bb=aa,aba=aab ab - -
bb=aa
aba=aab
baa=aab
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 7205 | ⟨a, b | bb=aa, bab=aaa⟩ | φ(a) = b, φ(b) = a |