偏序集拟阵中的三类算子及十四滤子定理

Three Operators in Poset Matroids and Fourteen Filters Theorem

在具有逆序对合对应的有限偏序集上的偏序集拟阵中定义了闭包、内部和取补3种算子,研究了这3种算子的一些性质,最后证明了偏序集拟阵中的十四滤子定理。

This paper gives definitions of the closure operator, interior operator and complement operator in poser matroids, of which the underlying posets have an order-reversing involution, and then studies some properties of operators of three kinds. At last, fourteen filters theorem in poset matroids is proved.