Quasi-Ordinarization Transform of a Numerical Semigroup

In this study, we present the notion of quasi-ordinarization transform a numerical semigroup. The set all semigroups fixed genus can be organized in forest whose roots are quasi-ordinary same genus. This way, approach conjecture on increasingness cardinalities sets each given We analyze number nodes at depth and propose new conjectures. Some properties presented, as well some relations between ordinarization transforms.