论文标题
Backström代数
Backström algebras
论文作者
论文摘要
我们介绍了BackströmPairs和Backström环，研究其派生类别，并为它们构建一种分类决议。为了 后者我们定义了全局维度，构建了派生类别的一种半正交分解，并推断出Backström环的派生尺寸最多为$ 2 $。 使用此半正交分解，我们将模块类别的描述定义为特殊Bimodule元素的类别。 我们还将部分倾斜构造为靠近三角形矩阵环的部分倾斜，并定义了后者的全局维度。
We introduce Backström pairs and Backström rings, study their derived categories and construct for them a sort of categorical resolutions. For the latter we define the global dimension, construct a sort of semi-orthogonal decomposition of the derived category and deduce that the derived dimension of a Backström ring is at most $2$. Using this semi-orthogonal decomposition, we define a description of the module category as the category of elements of a special bimodule. We also construct a partial tilting for a Backström pair to a ring of triangular matrices and define the global dimension of the latter.
