#27641 ⟨a, b | aa=1, ababab=bbb⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-cancellative non-commutative monoid
- Element b2a has infinite order
- Not right cancellative, because right multiplication by b is not injective:
-
(ba)2 ⋅ b = ab3 and ab2 ⋅ b = ab3, however (ba)2 ≠ ab2
- Reduction order:
- Right-to-left recursive path with deg(a) = 0; deg(b) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aa=1,ababab=bbb reversed:a/b - -
aa=1
babab=abbb
bbbab=abbbb
bbabbb=ababbbb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 28256 | ⟨a, b | aa=1, babab=abbb⟩ | φ(a) = a, φ(b) = b |