On some non MED symmetric numerical semigroups

The theory of numerical semigroups is important for its applications in algebra. Research on symmetric numerical semigroups, in particular, has attracted attention in recent years with its applications in various fields. In this original work, one of these studies, we consider a class of symmetric numerical semigroups with no maximal embedding dimension and half of this class. Here, we will give some results on some non MED symmetric numerical semigroups. Also, we will examine the relationships between these semigroups.