一类数字半群的极小表示

Minimal Presentations of a Class of Numerical Semigroups

应用J C Rosales的有关理论研究数字半群S=〈m,m+2,m+3,m+4,…,2m-2,2m-1〉,其中m≥5,该类数字半群的Ap啨ry集不具有惟一分解性质。本文完全确定了该类数字半群的极小表示。

Some relative theorems of J. C. Rosales about numerical semigroups are applied to study the numerical semigroups S=〈m,m+2,m+3,m+4,…,2m-2,2m-1〉 for m≥5, whose Apéry sets have not unique expression property. The minimal presentations of this kind of numerical semigroups are completely determined.