论文标题
半二次形式和等轴测图
Subordinate quadratic forms and isometric maps over semirings
论文作者
论文摘要
本文在[12] - [14]中介绍的半含量R上扩展了模块上的二次形式理论,尤其是在热带和超热性代数的设置中。等距线性图诱导二次形式的从属,并在我们当前的研究中提供了一个主要工具。这些地图允许在不同模块上的二次形式的提升和下降,从而保留了基本特征性能。
The paper expands the theory of quadratic forms on modules over a semiring R, introduced in [12]-[14], especially in the setup of tropical and supertropical algebra. Isometric linear maps induce subordination on quadratic forms, and provide a main tool in our current study. These maps allow lifts and pushdowns of quadratic forms on different modules, preserving basic characteristic properties.