#18754 ⟨a, b | aaa=a, bbaabb=a⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-cancellative non-commutative monoid
- Element ba has infinite order
- Not left cancellative, because left multiplication by a is not injective:
-
a ⋅ b8 = a and a ⋅ 1 = a, however b8 ≠ 1
- Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(a) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaa=a,bbaabb=a b/a - -
abbbbbbbb=a
bba=abb
aa=abbbb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 19298 | ⟨a, b | aaa=a, bbabb=aa⟩ | φ(a) = a, φ(b) = b |