论文标题
Lindström对一类代数不可证实的矩阵的猜想
Lindström's conjecture on a class of algebraically non-representable matroids
论文作者
论文摘要
Gordon推出了一类Matroids $ M（N）$，用于Prime $ n \ ge 2 $，因此$ m（n）$是代数表示，但仅以特征性$ n $。 Lindström证明，如果$ n> 2 $是一个偶数号码，则一般$ n \ ge 2 $的$ m（n）$在代数上是不可代表的，他推测，如果$ n $是一个复合号码，则不能以代数为代数。我们介绍了一种称为{\ it Harmonic Matroids}的新型曲霉，其中完整的代数矩阵就是一个例子。在这种更一般的情况下，我们证明了猜想。
Gordon introduced a class of matroids $M(n)$, for prime $n\ge 2$, such that $M(n)$ is algebraically representable, but only in characteristic $n$. Lindström proved that $M(n)$ for general $n\ge 2$ is not algebraically representable if $n>2$ is an even number, and he conjectured that if $n$ is a composite number it is not algebraically representable. We introduce a new kind of matroid called {\it harmonic matroids}, of which full algebraic matroids are an example. We prove the conjecture in this more general case.
