Dupliquée dʹune train algèbre et dʹune algèbre de Bernstein périodique Original Research Article

We show that if A2 is a train algebra of rank r, then the duplicate of A is train of rank r + 1. Also, if A2 is a Bernstein algebra of order n and period p, the commutative duplicate of A is Bernstein of order n + 1 and period p.