#18714 ⟨a, b | aaa=a, aabbba=a⟩

Up:Monoids with two generators and two relations
Prev:#18713 ⟨a, b | aaa=a, aabbab=b⟩
Next:#18715 ⟨a, b | aaa=a, aabbba=b⟩

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. a3 ⇒ a [1]
2. ab3a ⇒ a2 [3]
# ab:aaa=a,aabbba=a ab
aaa=a
abbba=aa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119277⟨a, b | aaa=a, abbba=aa⟩φ(a) = a, φ(b) = b