#2996 ⟨a, b | ab=a, bbbba=a⟩

Up:Monoids with two generators and two relations
Prev:#2992 ⟨a, b | ab=a, bbbaa=a⟩
Next:#2999 ⟨a, b | ab=a, bbbbb=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. ab ⇒ a [1]
2. b4a ⇒ a [2]
# ab:ab=a,bbbba=a ab
ab=a
bbbba=a

Isomorphic instances

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

6 total

Σ#PresentationMapping
108834⟨a, b | ab=a, bbbbab=a⟩φ(a) = a, φ(b) = b
109105⟨a, b | ab=a, bbbba=ab⟩φ(a) = a, φ(b) = b
1115844⟨a, b | aba=ab, aaaab=b⟩φ(a) = b, φ(b) = a
1124578⟨a, b | ab=a, bbbbabb=a⟩φ(a) = a, φ(b) = b
1125105⟨a, b | ab=a, bbbbab=ab⟩φ(a) = a, φ(b) = b
1125647⟨a, b | ab=a, bbbba=abb⟩φ(a) = a, φ(b) = b