P-Frobenius problem and p-symmetric numerical semigroup
In order to deal with the non-symmetry in p-Frobenius problem,we use the theory of numerical semigroup and Apery set to research the corresponding p-symmetric numerical semigroup.We first use the numerical semigroup and the Apery set as tools to get all kinds of variables of the p-Frobenius problem in advance,then we compare these results with the symmetric numerical semigroup and Frobenius problem.Then we can define the p-symmetric numerical semigroup and obtain its properties.On the base of these properties,we find two kinds ofp-symmetric numerical semigroup and then research the relationship between the symmetric numerical semigroup and the p-symmetric numerical semigroup.These two kinds of p-symmetric numerical semigroups give lots of examples and the properties can do help to research the non-symmetry in p-Frobenius problem.
numeical semigrouplinear Diophantine equationApery setsymmetryFrobenius problem
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