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〈
a
,
b
|
aba
=
bb
,
bab
=
aa
〉
Monoid presentation of length 10
Properties
Finite non-commutative monoid with 32 elements
Completion parameters
Reduction order: left-to-right a/b
Complete rewriting system
a
10
⇒
a
4
ba
8
⇒
ba
2
a
2
ba
6
⇒
a
2
b
a
3
b
⇒
ba
3
b
2
⇒
aba
bab
⇒
a
2
ba
2
b
⇒
a
2
ba
5
Idempotents
2 elements
1
a
6
Right Cayley graph
Left Cayley graph
Others with same cardinality
2 unique, 19 total
Length:
Presentation:
Description:
Related:
9
〈
a
,
b
|
aa
=
1
,
abbbba
=
b
〉
Finite non-commutative monoid with 32 elements
17 isomorphic
11
〈
a
,
b
|
aaa
=
bb
,
aabab
=
a
〉
Finite non-commutative monoid with 32 elements
