论文标题
数值半群的半模块的导体的公式,带有两个发电机
A formula for the conductor of a semimodule of a numerical semigroup with two generators
论文作者
论文摘要
我们为数值半群的半模块$δ$提供了一个数字半群$Δ$的表达式,并在两个发电机的$δ$和半群的发电机的syzygy模块方面提供了两个发电机的表达式。特别是,我们推断出半模块的导体与半群的导体之间的差异是$γ$的元素,以及$ c(δ)$的公式,在$Δ$的双重模块上。
We provide an expression for the conductor $c(Δ)$ of a semimodule $Δ$ of a numerical semigroup $Γ$ with two generators in terms of the syzygy module of $Δ$ and the generators of the semigroup. In particular, we deduce that the difference between the conductor of the semimodule and the conductor of the semigroup is an element of $Γ$, as well as a formula for $c(Δ)$ in terms of the dual semimodule of $Δ$.