Back
〈
a
,
b
|
aaa
=
1
,
abbab
=
ba
〉
Monoid presentation of length 10
Properties
Finite non-commutative monoid with 129 elements
Completion parameters
Reduction order: left-to-right a/b
Complete rewriting system
a
3
⇒ 1
b
2
ab
⇒
a
2
ba
ab
3
⇒
(ba)
3
a
(ab)
2
a
2
b
⇒
ba
2
b
2
a
2
(aba)
2
b
⇒
b(ba
2
)
2
ab(a
2
b)
2
⇒
bab
2
a
a
2
b
2
a
2
b
⇒
ba
2
(ba)
2
a
2
bab
2
⇒
(ba
2
)
3
a(ab)
3
⇒
b
3
a
(a
2
b)
2
b
⇒
b(aba)
2
(ba)
2
b
2
⇒
(aba)
2
ab
2
(a
2
b)
2
⇒
b
2
(a
2
b)
2
a
abab
2
a
2
b
⇒
bab
2
a
2
ba
b
4
a
2
b
⇒
aba
2
b
3
a
2
b
2
⇒
abab
2
a
2
(ab)
5
⇒
b
5
a
2
b
7
⇒
b
Idempotents
2 elements
1
b
6
Right Cayley graph
Left Cayley graph
Others with same cardinality
1 unique, 1 total
Length:
Presentation:
Description:
Related:
11
〈
a
,
b
|
aaa
=
1
,
abaabb
=
ba
〉
Finite non-commutative monoid with 129 elements
Other anti-isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
aababba
=
b
〉
11
〈
a
,
b
|
aaa
=
1
,
babb
=
abaa
〉
