On faithfully balanced modules, F-cotilting and F-Auslander algebras

JOURNAL OF ALGEBRA

卷:556

Article

Ma, Biao¹  Sauter, Julia² 

[1] Nanjing Univ, Dept Math, 22 Hankou Rd, Nanjing 210093, Peoples R China

[2] Bielefeld Univ, Fac Math, POB 100 131, D-33501 Bielefeld, Germany

关键词: Faithfully balanced module;    Tilting;    Auslander algebra;    Relative homological algebra;   

DOI  :  10.1016/j.jalgebra.2020.03.026

来源: Elsevier

【 摘 要 】

The aim of this paper is to give a unification of the theory of (co)tilting modules and (higher) Auslander correspondence by using faithfully balanced modules (i.e., faithful modules with the double centralizer property). In the language of relative homological algebra following Auslander-Solberg, a relative version of faithfully balancedness is given, which will be called 1-F-faithful. The relative versions of (higher) Auslander correspondence and Brenner-Butler theorem are also developed. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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