离散多面体的因子类群

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-02-08 DOI:10.1016/j.jcta.2024.105869

Jürgen Herzog , Takayuki Hibi , Somayeh Moradi , Ayesha Asloob Qureshi

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引用次数: 0

摘要

本文介绍了多复数的环。我们展示了如何计算环是正态时的除数类群和典型模块类。在多面体是离散多面体的特殊情况下，我们深入研究了几类多面体的环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The divisor class group of a discrete polymatroid

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.

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.