学术报告

题      目：COMBINATORIAL FACTORIZATION THEORY

报  告  人：钟庆海   研究员  (邀请人：袁平之 )

                                     山东理工大学

时      间：5月18日  16：30-17：30

地     点：数科院东楼401

报告人简介:

       钟庆海，现为奥地利格拉茨大学研究员，山东理工大学兼职特聘研究员。2013年于南开大学组合数学中心获得博士学位，研究方向为零和理论和非惟一分解理论。目前在 Israel Journal of Mathematics, Canadian Journal of Mathematics, Journal of
Combinatorial Theory A，Journal of Algebra, Journal of Number Theory 等杂志发
表三十多篇论文。主持完成奥地利科学基金委和国家自然科学基金委项目各一项。

摘      要：

      Sets of lengths in $H$ can be studied in the monoid of zero-sum sequences $\mathcal B (G)$ associated to $H$. A zero-sum sequence means a finite unordered sequence of group elements from $G$ (repetition is allowed) which sums up to zero. The set  of zero-sum sequences forms a monoid where the operation is just the juxtaposition of sequences. This monoid $\mathcal B (G)$ is a Krull monoid again and its system of sets of lengths coincides with the system of our starting monoid $H$.