#16170 ⟨a, b | aab=ab, abba=ab⟩

Up:Monoids with two generators and two relations
Prev:#16169 ⟨a, b | aab=ab, abba=aa⟩
Next:#16171 ⟨a, b | aab=ab, abba=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 ⇒ ab [1]
2. aba ⇒ ab [6]
3. ab2 ⇒ ab [5]
# ab:aab=ab,abba=ab ab
aab=ab
aba=ab
abb=ab

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116386⟨a, b | aba=ab, aabb=ab⟩φ(a) = a, φ(b) = b