Relative derived categories with respect to subcategories

Di Zhenxing; Zhang Xiaoxiang; Ren Wei; Chen Jianlong

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Relative derived categories with respect to subcategories

机译：关于子类别的相对派生类别

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The notion of relative derived category with respect to a subcategory is introduced. A triangle-equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived categories, J. Algebra 323 (2010) 2041-2057] to the bounded below case, is obtained. Moreover, we interpret the relative derived functor Ext chi A(-,-) as the morphisms in such derived category and give two applications.

机译：介绍了相对于子类别的相对派生类别的概念。获得了三角形等价性，该等价性将Gao和Zhang [Gorenstein衍生类别，J。Algebra 323（2010）2041-2057]的定理扩展到以下情况的有界。此外，我们将相对派生的函子Ext chi A（-，-）解释为此类派生类别中的态素，并给出了两个应用。

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《Journal of algebra and its applications》 |2016年第6期|共17页
作者
Di Zhenxing; Zhang Xiaoxiang; Ren Wei; Chen Jianlong;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Homotopy category; derived category; triangle equivalence; semidualizing module; Tate cohomology;

机译：同伦类别;派生类别;三角形等价;半对称模块;泰特同调;

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Relative derived categories with respect to subcategories

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