Key points are not available for this paper at this time.
Recently, the concept of the p-numerical semigroup with p-symmetric properties has been introduced. When p=0, the classical numerical semigroup with symmetric properties is recovered. In this paper, we further study the p-numerical semigroup with p-almost symmetric properties. We also give p-generalized formulas of Watanabe and Johnson, and introduce p-Arf numerical semigroup and study its properties.
Takao Komatsu (Tue,) studied this question.