#19535 ⟨a, b | aab=b, aabbb=bb⟩

Up:Monoids with two generators and two relations
Prev:#19532 ⟨a, b | aab=b, aabbb=aa⟩
Next:#19538 ⟨a, b | aab=b, abaaa=ba⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a2b ⇒ b [1]
2. b3 ⇒ b2 [2]
# ab:aab=b,aabbb=bb ab
aab=b
bbb=bb

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

5 total

Σ#PresentationMapping
1119583⟨a, b | aab=b, baabb=bb⟩φ(a) = a, φ(b) = b
1119607⟨a, b | aab=b, bbaab=bb⟩φ(a) = a, φ(b) = b
1120079⟨a, b | aab=b, aabb=bbb⟩φ(a) = a, φ(b) = b
1120107⟨a, b | aab=b, abbb=abb⟩φ(a) = a, φ(b) = b
1120127⟨a, b | aab=b, baab=bbb⟩φ(a) = a, φ(b) = b