论文标题
第一个Brauer-Thrall猜想的$τ$ - 使用方法
A $τ$-tilting approach to the first Brauer-Thrall conjecture
论文作者
论文摘要
在本文中,我们研究了在有限维代数上的模块的行为,其内态代数是一个分裂环。我们表明,当且仅当所有此类模块的长度都界限时,就有一个代数的模块类别中有有限的许多此类模块。
In this paper we study the behaviour of modules over finite dimensional algebras whose endomorphism algebra is a division ring. We show that there are finitely many such modules in the module category of an algebra if and only if the length of all such modules is bounded.