#3456 ⟨a, b, c | ba=ac, acc=b⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 8
- Infinite non-cancellative non-commutative monoid
- Element a has infinite order
- Not left cancellative, because left multiplication by b is not injective:
-
b ⋅ c = b2 and b ⋅ b = b2, however c ≠ b
- Reduction order:
- Left-to-right shortlex with a < b < c
- Certificate: derivations of all rewriting rules from the defining relations.
# abc:ba=ac,acc=b abc - -
ba=ac
bc=bb
acc=b
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 8 | 3462 | ⟨a, b, c | ba=ac, bac=b⟩ | φ(a) = a, φ(b) = b, φ(c) = c |