标题： 通过牧群同态表示拟阵 显示英文标题

标题： Representing matroids via pasture morphisms

摘要： 利用Baker-Lorscheid开发的拟阵的牧场和基础框架，我们给出了以下算法：(i)计算拟阵的基础，(ii)计算两个牧场之间的所有同态。这些方法共同提供了一种有效解决拟阵表示中许多感兴趣问题的方法，包括可定向性、不可表示性以及计算拟阵在有限域上的所有表示。 显示英文摘要

摘要： Using the framework of pastures and foundations of matroids developed by Baker-Lorscheid, we give algorithms to: (i) compute the foundation of a matroid, and (ii) compute all morphisms between two pastures. Together, these provide an efficient method of solving many questions of interest in matroid representations, including orientability, non-representability, and computing all representations of a matroid over a finite field.