On Proper and Exact Relative Homological Dimensions
作者机构：CeReMAR CenterFaculty of Sciences B.P.1014 Mohammed V University in RabatRabatMorocco Dcpartamento de MatematicasUniversidad de AlmeriaAlmena 04071Spain Department of Mathematics and PhysicsNanjing Institute of Technology Nanjing 211167China Departamento de MatematicasUniversidad de AlmenaAlmena 04071Spain
出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)
年 卷 期：2020年第27卷第3期
页 面：621-642页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：The second and fourth authors were partially supported by the grant MTM2014-54439-P from Ministerio de Economia y Competitividad The third author was partially supported by NSFC(11771202)
主 题：self-orthogonal subcategory resolvent dimension exact dimension relative homological dimension relative group(co)homology balanced pair
摘 要：In Enochs relative homological dimension theory occur the(co)resolvent and(co)proper dimensions,which are defined by proper and coproper resolutions constructed by precovers and preenvelopes,***,some authors have been interested in relative homological dimensions defined by just exact *** this paper,we contribute to the investigation of these relative homological *** we study the relation between these two kinds of relative homological dimensions and establish some transfer results under adjoint *** relative global dimensions are studied,which lead to nice characterizations of some properties of particular cases of self-orthogonal *** the end of this paper,relative derived functors are studied and generalizations of some known results of balance for relative homology are established.
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