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〈a, b | aaaa=a, aabba=b〉

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. b8 ⇒ b
  2. ba ⇒ ab4
  3. a3b ⇒ b
  4. a4 ⇒ a

Idempotents

3 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

9 unique, 13 total

Length:Presentation:Description:Related:
10 〈a, b | abba=b, baab=a〉 Finite non-commutative monoid with 25 elements
10 〈a, b | aab=a, bbbbb=b〉 Finite non-commutative monoid with 25 elements
10 〈a, b | aaa=a, aaba=bb〉 Finite non-commutative monoid with 25 elements
11 〈a, b | aaaaa=b, bbbbb=1〉 Isomorphic to ℤ25 3 isomorphic
11 〈a, b | abab=a, bbbbb=b〉 Finite non-commutative monoid with 25 elements
11 〈a, b | abba=b, bbabb=a〉 Finite non-commutative monoid with 25 elements
11 〈a, b | aba=b, baabbb=a〉 Finite non-commutative monoid with 25 elements 1 isomorphic
11 〈a, b | aba=a, aaaaa=bb〉 Finite non-commutative monoid with 25 elements
11 〈a, b | aba=b, aaaaa=bb〉 Finite non-commutative monoid with 25 elements