关于偏序集拟阵与闭包算子的关系

On the relations between poset matroids and closure operators

给出了偏序集拟阵的闭包算子和闭集的定义,并讨论了其相关性质,推广了拟阵理论中的有关结果,同时指出闭包算子和闭集在偏序集拟阵理论与拟阵理论中的区别和联系。

The definitions of the closure operator and closed set of a poset matroid are given at first,followed by the discussion of their relative properties.Some results of matroid theory are generalized.Meanwhile,the differences and connections between poset matroids and matroids are revealed about closure operators and closed sets.