偏序集与不同种广义拟阵间的包含关系

众所周知,偏序集理论在研究广义拟阵论中起着重要作用.但是偏序集理论与不同种广义拟阵间的包含关系的直接联系是什么呢?怎样运用偏序集理论的手法去解决该问题呢?为得到答案,首先对于定义在同一集上的全体广义拟阵构造一个偏序关系,运用这种偏序关系讨论不同种的广义拟阵间的包含关系.多数结论是以构造方式给出,因此也使其在理论和运用方面更加简捷明了.

Poset and the Containment Relations Between Different Kinds of Greedoids

It is known that poset theory is important to the study on greedoid theory.But what is the direct relation between poset theory and the containment relations between different kinds of greedoids?How to apply poset theory to solve such problem?In order to obtain the answers,the applications to study the containment relations between classes of greedoids are discussed by constructing a poset for all greedoids defined on the same set.Most results are presented in constructive methods and so they are easier and clearer in theory and application.