论文标题
相对左邦加茨完成及其与突变的兼容性
Relative left Bongartz completions and their compatibility with mutations
论文作者
论文摘要
在本文中，我们在给定的基本$τ$ -Rigid Pair $（u，q）$的模块类别中介绍了相对的左邦加兹完成术，该$τ$ -Irgid Pair $（u，q）$ $ a $ a $。他们为基本$τ$ - 用$（u，q）$作为直接总结的基本$τ$。我们证明，相对左邦加茨的完成与突变具有很好的兼容性。使用这种兼容性，我们能够研究$τ$减少的最大绿色序列的存在。我们还解释了我们的构建以及淤积理论设置的一些结果。
In this paper, we introduce relative left Bongartz completions for a given basic $τ$-rigid pair $(U,Q)$ in the module category of a finite dimensional algebra $A$. They give a family of basic $τ$-tilting pairs containing $(U,Q)$ as a direct summand. We prove that relative left Bongartz completions have nice compatibility with mutations. Using this compatibility we are able to study the existence of maximal green sequences under $τ$-tilting reduction. We also explain our construction and some of the results in the setting of silting theory.
