论文标题
外侧类别的Auslander-Buchweitz近似理论
Auslander-Buchweitz Approximation Theory for Extriangulated Categories
论文作者
论文摘要
Nakaoka和Palu引入了外部类别，作为确切类别和三角形类别的同时概括。在本文中，我们介绍并开发了针对外部类别的Auslander-Buchweitz近似值的类似理论。我们确定了预先植物的PANDEENVEENESQ的存在，并获得了相对同源维度的特征，这些尺寸基于在有限的决议中基于某些子类别。最后，我们在某些条件下对外侧类别的cotorsion对进行了描述，并在稳定类别上提供了淤积子类别的特征。关键字：外节式类别；同源维度； Cogogener;合作对。
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we introduce and develop an analogous theory of Auslander-Buchweitz approximations for extriangulated categories. We establish the existence of precovers pand preenvelopesq and obtain characterizations of relative homological dimensions, which are based on certain subcategories under finiteness of resolutions. Finally, we give a description of cotorsion pairs on extriangulated categories under some conditions, and provide a characterization of silting subcategories on stable categories. Keywords: Extriangulated category; Homological dimension; Cogenerator; Cotorsion pair.
