#12951 ⟨a, b | aba=aab, baab=b⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-cancellative non-commutative monoid
- Element a has infinite order
- Not left cancellative, because left multiplication by b is not injective:
-
b ⋅ ba2 = b and b ⋅ 1 = b, however ba2 ≠ 1
- Reduction order:
- Left-to-right shortlex with b < a
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aba=aab,baab=b ba - -
bab=bba
aab=aba
bbaa=b
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 12953 | ⟨a, b | aba=aab, baba=b⟩ | φ(a) = a, φ(b) = b |
| 11 | 12957 | ⟨a, b | aba=aab, bbaa=b⟩ | φ(a) = a, φ(b) = b |