论文标题
对称和伪对称数值半群，通过年轻图及其半群环
Symmetric and Pseudo-Symmetric Numerical Semigroups via Young Diagrams and Their Semigroup Rings
论文作者
论文摘要
本文研究了对称和伪对称数值半群的年轻图，并描述了有关Young图和数值半群的新操作。这些提供了对称和伪对称半群的新分解，使其及其双重群及其双重分解。还针对哪种数字半群$ s $，semigroup ring $ \ bbbk [\！[s] \！] $给出了至少一个gorenstein subring，并且至少具有一个kunz subring。
This paper studies Young diagrams of symmetric and pseudo-symmetric numerical semigroups and describes new operations on Young diagrams as well as numerical semigroups. These provide new decompositions of symmetric and pseudo-symmetric semigroups into an over semigroup and its dual. It is also given exactly for what kind of numerical semigroup $S$, the semigroup ring $\Bbbk[\![S]\!]$ has at least one Gorenstein subring and has at least one Kunz subring.
