In this paper we introduce toric rings of multicomplexes. We show how to compute the divisor class group and the class of the canonical module when the toric ring is normal. In the special case that the multicomplex is a discrete polymatroid, its toric ring is studied deeply for several classes of polymatroids.

中文翻译：

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离散多拟阵的除数类群

在本文中，我们介绍了多重复合物的复曲面环。我们展示了当复曲面环正常时如何计算除数类组和规范模块的类。在多重复合物是离散多类阵的特殊情况下，针对几类多类阵对其复曲面环进行了深入研究。