论文标题
关于三角类别的阿贝尔子类别
On abelian subcategories of triangulated categories
论文作者
论文摘要
自我指数代数的稳定模块类别是三角剖分的，但不需要任何非平凡的$ t $结构，尤其是完整的Abelian子类别不需要作为$ t $结构的心脏出现。本文的目的是调查三角形类别的完整亚伯族子类别，这些类别的确切结构是相关的，并且更确切地说是探索有限二二维的自我指数代数的不变性与其稳定模块类别的完整亚伯族子类别之间的关系。
The stable module category of a selfinjective algebra is triangulated, but need not have any nontrivial $t$-structures, and in particular, full abelian subcategories need not arise as hearts of a $t$-structure. The purpose of this paper is to investigate full abelian subcategories of triangulated categories whose exact structures are related, and more precisely, to explore relations between invariants of finite-dimensional selfinjective algebras and full abelian subcategories of their stable module categories.
