论文标题
在广义数值半群中的几乎对称性上
On almost-symmetry in generalized numerical semigroups
论文作者
论文摘要
在这项工作中，我们介绍了通用数值半群的几乎对称的概念。除了在这个新类中发生的主要属性外，我们还为其元素提供了几种特征。特别是，我们表明该类别产生了一个新的Frobenius概括性数字半群，并扩展了不可还原的通用数值半群的类别。这项研究使我们能够提供一种计算所有几乎对称的具有固定Frobenius元素的几乎对称的概括性数字半群，并根据所选的单序在生根的树中组织它们。
In this work we introduce the notion of almost-symmetry for generalized numerical semigroups. In addition to the main properties occurring in this new class, we present several characterizations for its elements. In particular we show that this class yields a new family of Frobenius generalized numerical semigroups and extends the class of irreducible generalized numerical semigroups. This investigation allows us to provide a method of computing all almost symmetric generalized numerical semigroup having a fixed Frobenius element and organizing them in a rooted tree depending on a chosen monomial order.
