论文标题
张量级函数的公理方法
An Axiomatic Approach to Tensor Rank Functions
论文作者
论文摘要
Qi等人的最新工作。 ARXIV:2004.11240V7提出了一组张量级函数的公理。当前的论文提供了示例,表明它们的公理允许等级函数具有一些不良属性,并且建议一组更强的公理集可以消除这些属性。 Qi等人提出的两个问题。还回答了涉及子轴等级函数。
Recent work of Qi et al. arXiv:2004.11240v7 proposes a set of axioms for tensor rank functions. The current paper presents examples showing that their axioms allow rank functions to have some undesirable properties, and a stronger set of axioms is suggested that eliminates these properties. Two questions raised by Qi et al. involving the submax rank function are also answered.