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〈
a
,
b
|
aab
=
bb
,
ababa
=
a
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 34 elements
Completion parameters
Reduction order: left-to-right a/b
Complete rewriting system
a
8
⇒
a
2
ba
2
⇒
a
4
b
2
⇒
a
2
b
a(ba)
2
⇒
a
Idempotents
7 elements
1
a
6
a
3
ba
a
4
b
(ba)
2
(ab)
2
a
7
bab
Right Cayley graph
Left Cayley graph
Others with same cardinality
1 unique, 4 total
Length:
Presentation:
Description:
Related:
10
〈
a
,
b
|
aa
=
1
,
ababbbb
=
b
〉
Finite non-commutative monoid with 34 elements
2 isomorphic, 1 anti-isomorphic