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〈
a
,
b
|
abab
=
ba
,
aaaaa
=
1
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 160 elements
Completion parameters
Reduction order: left-to-right a/b
Complete rewriting system
a
5
⇒ 1
bab
⇒
a
4
ba
ab
2
⇒
ba
2
ba
4
a
2
ba
4
b
⇒
(ba
3
)
2
(a
3
b)
2
⇒
ba
4
ba
2
a
4
ba
2
b
⇒
b
2
a
b
2
a
2
b
⇒
a
3
ba
2
(a
2
b)
2
a
3
b
⇒
ba
3
(ba
2
)
2
a(aba
2
)
2
b
⇒
b
2
a
4
ba
3
a(a
2
b)
3
⇒
b
3
a
2
b
3
a
3
b
⇒
a
2
ba
3
(a
2
b)
4
⇒
b
4
a
3
b
4
a
4
b
⇒
aba
4
b
6
⇒
b
Idempotents
2 elements
1
b
5
Right Cayley graph
Left Cayley graph
Others with same cardinality
1 unique, 1 total
Length:
Presentation:
Description:
Related:
10
〈
a
,
b
|
aab
=
ba
,
bbbbb
=
1
〉
Finite non-commutative monoid with 160 elements
