论文标题
K线性类别的可接受理想
Admissible ideals for k-linear categories
论文作者
论文摘要
我们从路径代数到满足Krull-remak-schmidt-azumaya假设的（小）k线性类别的（小）K线性类别的概念。在我们的治疗中，我们首先证明了一些一般结果，这些结果类似于路径代数和可允许的理想的一般结果。然后，我们涵盖了由长度二的路径产生的关系的概括，我们称之为点关系以及更一般的长度关系。我们以几个示例和一个附录，其中包含有关长度关系的进一步讨论。
We generalize the notion of an admissible ideal from path algebras to (small) k-linear categories that satisfy the Krull--Remak--Schmidt--Azumaya assumption. In our treatment we first prove some general results that are analogous to general results for path algebras and admissible ideals. We then cover generalizations of relations generated by paths of length two, which we call point relations, and more general length relations. We conclude the paper with several examples and an appendix containing further discussion on length relations.
