#1230 ⟨a, b, c | aa=1, aabc=c⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 7
- Infinite non-cancellative non-commutative monoid
- Element ba has infinite order
- Not right cancellative, because right multiplication by c is not injective:
-
b ⋅ c = c and 1 ⋅ c = c, however b ≠ 1
- Reduction order:
- Left-to-right shortlex with a < b < c
- Certificate: derivations of all rewriting rules from the defining relations.
# abc:aa=1,aabc=c abc - -
aa=1
bc=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 7 | 1389 | ⟨a, b, c | aa=1, aab=cb⟩ | φ(a) = a, φ(b) = c, φ(c) = b |
| 7 | 1401 | ⟨a, b, c | aa=1, abc=ac⟩ | φ(a) = a, φ(b) = b, φ(c) = c |