Gr\"{o}bner-Shirshov Basis of Quantum Group of Type $\mathbb{D}_4$

The authors take all isomorphism classes of indecomposable representations as new generators, and obtain all skew-commutators between these generators by using the Ringel-Hall algebra method. Then they prove that the set of these skew-commutators is a Gröbner-Shirshov basis for quantum group of type \(\mathbb{D}_4\).     

一类可修复计算机系统的定性分析

本文讨论由软件和硬件构成的一类可修复计算机系统的动态解.运用C0-半群理论及算子理论,证明该系统的适定性和非负动态解的存在唯—性.通过研究系统相应算子的谱特征,得到系统的渐近稳定性.