#589 ⟨a, b | aab=a, bab=b⟩

Up:Monoids with two generators and two relations
Prev:#588 ⟨a, b | aab=a, bab=a⟩
Next:#590 ⟨a, b | aab=a, bba=a⟩

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 ⇒ a [1]
2. bab ⇒ b [2]
# ab:aab=a,bab=b ab
aab=a
bab=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
106357⟨a, b | aab=a, baabb=b⟩φ(a) = a, φ(b) = b