#16319 ⟨a, b | aab=bb, babb=ba⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-cancellative non-commutative monoid
- Element a has infinite order
- Not left cancellative, because left multiplication by b is not injective:
-
b ⋅ b2a = ba and b ⋅ a = ba, however b2a ≠ a
- Not right cancellative, because right multiplication by b is not injective:
-
a2 ⋅ b = b2 and b ⋅ b = b2, however a2 ≠ b
- Reduction order:
- Right-to-left recursive path with deg(b) = 0; deg(a) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aab=bb,babb=ba reversed:b/a - -
bbbbb=bbb
bbba=ba
bab=bba
baa=bbbb
aab=bb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 16327 | ⟨a, b | aab=bb, bbab=ba⟩ | φ(a) = a, φ(b) = b |