Abstract
Our goal is to study the A-loops commutative nilpotent of degree 3 for the classification of commutative A-loops of order p4, where p is a prime number.We already have the classification of commutative A-loops of order p3 and such classification was possible because, if p odd, these loops are centrally nilpotent. The case p = 2 was done computationally.The classification methodology that …