#3396 ⟨a, b, c | ac=ab, bba=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 ⋅ ba = b and b ⋅ 1 = b, however ba ≠ 1
- Reduction order:
- Left-to-right shortlex with a < b < c
- Certificate: derivations of all rewriting rules from the defining relations.
# abc:ac=ab,bba=b abc - -
ac=ab
bc=bb
bba=b
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 8 | 3405 | ⟨a, b, c | ac=ab, bca=b⟩ | φ(a) = a, φ(b) = b, φ(c) = c |