#847 ⟨a, b | ababaaab=b⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 9
- Infinite non-cancellative non-commutative monoid
- Not right cancellative, because right multiplication by b is not injective:
-
(ab)2a3 ⋅ b = b and 1 ⋅ b = b, however (ab)2a3 ≠ 1
- Enveloping group: ⟨a, b | aaabb⟩
- Auxiliary generators:
- c = ab
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:ababaaab=b ca/b ab=c morph:2/0
accc=ccac
accac=ccaac
accaac=c
b=ccaac
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3729 | ⟨a, b | abaabaaaab=b⟩ | φ(a) = a, φ(b) = ccac |