论文标题
关于相对刚性和支撑倾斜之间的关系
On the relation between relative rigid and support tilting
论文作者
论文摘要
令B为外侧类别，具有足够的投影和足够的注射剂。让 c是B的完全刚性子类别，该子类别允许双胞胎对（（C，K），（K，d））。商类别B/K是Abelian，我们假设它是遗传性并且具有有限的长度。在本文中，我们研究了支持B/K的倾斜子类别与B的最大相对刚性子类别之间的关系。更准确地说，我们表明，B/K的任何集群倾斜子类别的图像是支持B/K中的倾斜度倾斜的倾斜度，而B/K中的任何支持较高的iSGimim cuint of Biforie of Bigimic of b.我们也可以在B/K中进行任何支持。由对象生成。
Let B be an extriangulated category with enough projectives and enough injectives. Let C be a fully rigid subcategory of B which admits a twin cotorsion pair ((C,K),(K,D)). The quotient category B/K is abelian, we assume that it is hereditary and has finite length. In this article, we study the relation between support tilting subcategories of B/K and maximal relative rigid subcategories of B. More precisely, we show that the image of any cluster tilting subcategory of B is support tilting in B/K and any support tilting subcategory in B/K can be lifted to a unique relative maximal rigid subcategory in B. We also give a bijection between these two classes of subcategories if C is generated by an object.
