#5259 ⟨a, b | aba=ab, baaa=b⟩
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 b is not injective:
-
b ⋅ a3 = b and b ⋅ 1 = b, however a3 ≠ 1
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aba=ab,baaa=b ab - -
aba=ab
bba=bb
baaa=b
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 12493 | ⟨a, b | abaa=ab, baaa=b⟩ | φ(a) = a, φ(b) = b |