论文标题
零划分图和零分离器函子
Zero-Divisor Graphs and Zero-Divisor Functors
论文作者
论文摘要
受A.ðurić，S。Jevéenić和N. Stopar的最新作品的启发，我们介绍了与环上附加的零分类图的新定义，其中包括文献中已经知道的所有经典定义。我们提供了诸如函子的图像之类的图形的解释，我们称为零型函子，并且与事先固定的特殊等价关系家族有关。因此，我们恢复并概括了零局部图的许多已知结果，并提供了一个框架，该框架可能对于对该主题的进一步研究很有用。
Inspired by a very recent work of A. Ðurić, S. Jevđenić and N. Stopar, we introduce a new definition of zero-divisor graphs attached to rings, that includes all of the classical definitions already known in the literature. We provide an interpretation of such graphs as images of a functor, that we call zero-divisor functor and which is associated with a family of special equivalence relations fixed beforehand. We thus recover and generalize many known results for zero-divisor graphs and provide a framework which might be useful for further investigations on this topic.
