论文标题
在三个脱离类别中几乎拆分序列
Almost split sequences in tri-exact categories
论文作者
论文摘要
我们将研究三个类别的三角形类别的延伸子类别中几乎分裂序列的存在。我们的结果统一并扩展了Abelian类别和确切类别（即Abelian类别的扩展封闭的子类别）的几乎分序序列的存在定理，以及三角形类别中几乎分裂三角形的子类别。作为应用程序，我们将获得一些新的结果，以在所有模块的派生类别中存在几乎分裂序列，该类别在代数上具有统一性或与关系的震颤给出的统一性或局部有限的维数代数。
We shall study the existence of almost split sequences in tri-exact categories, that is, extension-closed subcategories of triangulated categories. Our results unify and extend the existence theorems for almost split sequences in abelian categories and exact categories (that is, extension-closed subcategories of abelian categories), and those for almost split triangles in triangulated categories. As applications, we shall obtain some new results on the existence of almost split sequences in the derived categories of all modules over an algebra with a unity or a locally finite dimensional algebra given by a quiver with relations.
