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a, b | aaa=ab, bbbbb=1

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. a11a
  2. aba3
  3. b5 ⇒ 1

Idempotents

6 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

5 unique, 6 total

Length:Presentation:Description:Related:
10 a, b | aaab=a, bbbbb=1 Finite non-commutative monoid with 55 elements
11 a, b | aaabb=a, bbbbb=1 Finite non-commutative monoid with 55 elements 1 isomorphic
11 a, b | aaba=ab, bbbbb=1 Finite non-commutative monoid with 55 elements
11 a, b | abb=aaa, bbbbb=1 Finite non-commutative monoid with 55 elements
11 a, b | aaa=ab, bbbbb=b Finite non-commutative monoid with 55 elements