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a, b | aaaa=1, ababbb=b

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. b7b
  2. babab2
  3. a2bb4
  4. a4 ⇒ 1

Idempotents

5 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

3 unique, 3 total

Length:Presentation:Description:Related:
10 a, b | aaaa=ab, bbbb=1 Finite non-commutative monoid with 52 elements
10 a, b | aaaa=1, abbbb=b Finite non-commutative monoid with 52 elements
11 a, b | aaaa=ab, bbbb=b Finite non-commutative monoid with 52 elements

Other isomorphic instances

1 total

Length:Presentation:
11a, b | aaaa=1, abbabb=b