# On the algebras obtained by tensor product

Research paper by Elisabeth Remm, Michel Goze

Indexed on: 25 Jan '07Published on: 25 Jan '07Published in: Mathematics - Rings and Algebras

#### Abstract

Let P be a quadratic operad. We determine an associated operad ~P such that for any P-algebra A and any ~P-algebra B then the tensor product $A \otimes B$ is a P-algebra.