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〈a, b | aaaa=a, aabbb=b〉

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. b7 ⇒ b
  2. ab ⇒ b3
  3. a4 ⇒ a

Idempotents

6 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

7 unique, 7 total

Length:Presentation:Description:Related:
10 〈a, b | aaaa=a, abba=b〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaaa=a, abbb=b〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaab=b, babb=a〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaab=b, bbab=a〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaba=b, babb=a〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaba=b, bbab=a〉 Finite non-commutative monoid with 28 elements
11 〈a, b | aaaa=a, ababa=b〉 Finite non-commutative monoid with 28 elements

Other isomorphic instances

1 total

Length:Presentation:
11〈a, b | aaaa=a, abbab=b〉