某些数字半群的商的Frobenius数公式

The Frobenius Number Formula of Quotient of Some Numeral Semi-groups

文章主要通过给出数字半群和d-对称数字半群的定义和相关定理,以及一些典型数字半群的商的Frobenius数,从而得到一些相关的结论和公式,并利用这些结论和公式,在d-对称数字半群中加以推广,最终总结出数字半群在d取不同数值下的表达式。

By giving the definitions and relevant theorems of digital Semi-groups and d-symmetric digital Semi-groups, as well as the Frobenius numbers of quotients of some typical numerical Semi-groups, some relevant conclusions and formulas are obtained, and these conclusions and formulas are used. In this paper, we generalize the expression of digital semi-group under different numerical values in the form of d-symmetric numeral semigroup.