#3569 ⟨a, b, c | ac=ab, ba=ab⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 8
- Infinite non-commutative monoid
- Element a has infinite order
- Reduction order:
- Left-to-right shortlex with b < a < c
- Certificate: derivations of all rewriting rules from the defining relations.
# abc:ac=ab,ba=ab bac - -
ab=ba
ac=ba
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 8 | 3570 | ⟨a, b, c | ac=ab, ba=ac⟩ | φ(a) = a, φ(b) = b, φ(c) = c |
| 8 | 3583 | ⟨a, b, c | ba=ab, bc=ab⟩ | φ(a) = b, φ(b) = a, φ(c) = c |