#15 ⟨
a
,
b
|
aaa
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#14
⟨
a
,
b
|
abba
=1⟩
Next:
#17
⟨
a
,
b
|
aab
=
a
⟩
Properties
Presentation has sum-of-sides 4
Isomorphic to ℕ
(3 = 1)
∗ ℕ
Infinite non-commutative monoid
Complete rewriting system
Format:
Pretty
Plain
Word to reduce:
Tips:
Lowercase letters stand for generators.
Spaces are ignored.
Numbers repeat the previous letter, e.g.
b90
.
Reduction strategy:
Leftmost
Rightmost
Path to normal form:
1
1
Reduction order:
Left-to-right shortlex with
a
<
b
a
3
⇒
a
# ab:aaa=a ab aaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
