报告人：饶辉 教授（华中师范大学）
报告题目：Characterization of complementing pairs of (Z^+)^n
报告摘要：Let $A, B, C$ be subsets of an abelian group $G$. A pair $(A, B)$ is called a $C$-pair if $A, B\subset C$ and $C$ is the direct sum of $A$ and $B$.The $\Z^+$-pairs are characterized by de Bruijn in 1950 and the $(\Z^+)^2$-pairs are characterized by Niven in 1971. We characterize the $(\Z^+)^n$-pairs for all $n\geq 1$. We show that every $(\Z^+)^n$-pair is characterized by a weighted tree if it is primitive, that is, it is not a Cartesian product of a $(\Z^+)^p$-pair and a $(\Z^+)^q$-pair of lower dimensions.
报告时间：2019年6月21日（星期五）下午15：30
报告地点：科技楼南楼605
