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〈
a
,
b
|
aaa
=
1
,
bbabb
=
aba
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 1083 elements
Completion parameters
Reduction order: left-to-right b/a
Complete rewriting system
b
46
⇒
b
bab
45
⇒
ba
b
5
a
⇒
ab
5
aba
⇒
b
2
ab
2
ba
2
b
45
⇒
ba
2
bab
3
a
⇒
ab
3
ab
a
3
⇒ 1
a
2
b
2
a
⇒
bab
43
a
2
b
3
a
⇒
b
2
a
2
b
4
a
2
b
4
a
⇒
bab
4
ab
38
ab
2
a
2
⇒
b
3
ab
41
a(b
2
a)
2
⇒
b(b
2
a)
2
b
38
ab
3
a
2
⇒
b
4
a
2
b
2
ab(b
2
a)
2
⇒
ba
2
b
7
ab
3
ab
4
a
⇒
b
3
a
2
b
7
ab
4
a
2
⇒
b
3
ab
4
ab
36
a(b
4
a)
2
⇒
b
4
ab
2
ab
14
bab
2
ab
4
a
⇒
ab
2
ab
4
ab
19
bab
4
ab
2
a
⇒
ab
4
ab
2
ab
19
Idempotents
2 elements
1
b
45
Right Cayley graph
Left Cayley graph
Others with same cardinality
2 unique, 4 total
Length:
Presentation:
Description:
Related:
10
〈
a
,
b
|
aaa
=
1
,
abbbba
=
b
〉
Finite non-commutative monoid with 1083 elements
1 isomorphic
10
〈
a
,
b
|
aaa
=
1
,
bbbb
=
aba
〉
Finite non-commutative monoid with 1083 elements
1 isomorphic
