Operad: Associative

abbreviations

As, Ass, Assoc

category

set

type

non-symetrique

dimensions

1, 1, 1, 1, 1, 1, 1, 1, 1

OEIS: A000012

Formula: 1

Serie: x / (1 - x)

Equation: (1-x)*P-x

properties

Koszul, binary, quadratic, cyclic, Hopf

Koszul dual operad

As

generateurs

• generator * of arity 2

relations

• equality: (x*y)*z = x*(y*z)

morphisms

→ Com, → Dend, → Dup, → Dup, → Tridend, → Trias, → Trias, → Trias, → 2as, → 2as, → 2as!, → 2as!

References

• B. Peirce, 1881 ↗ ↗