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〈a, b | aaaa=1, abbbb=b〉

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. b13 ⇒ b
  2. ab ⇒ b10
  3. a4 ⇒ 1

Idempotents

5 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

3 unique, 4 total

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