#593 ⟨a, b | bbaa=aabb⟩

Up:Monoids with two generators and one relation
Prev:#592 ⟨a, b | babb=abaa⟩
Next:#594 ⟨a, b | bbbb=aaaa⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

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. b2a2 ⇒ a2b2 [1]
# ab:bbaa=aabb ab
bbaa=aabb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102761⟨a, b | babaa=aabab⟩Infinite cancellative non-commutative monoid