#19827 ⟨
a
,
b
|
aaa
=
a
,
abbb
=
bbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#19826
⟨
a
,
b
|
aaa
=
a
,
abbb
=
bba
⟩
Next:
#19829
⟨
a
,
b
|
aaa
=
a
,
baab
=
aab
⟩
Properties
Presentation has sum-of-sides 11
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
a
b
3
⇒
b
3
# ab:aaa=a,abbb=bbb ab aaa=a abbb=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
