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n-T-COTORSION-FREE MODULES

Part of: Homological algebra Abelian categories Homological methods Representation theory of rings and algebras

Published online by Cambridge University Press:  25 March 2019

DAJUN LIU  and
JIAQUN WEI
DAJUN LIU
Affiliation:
Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing210023, China e-mails: ldjnnu2017004@163.com; weijiaqun@njnu.enu.cn
JIAQUN WEI
Affiliation:
Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing210023, China e-mails: ldjnnu2017004@163.com; weijiaqun@njnu.enu.cn
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Abstract

In order to better unify the tilting theory and the Auslander–Reiten theory, Xi introduced a general transpose called the relative transpose. Originating from this, we introduce and study the cotranspose of modules with respect to a left A-module T called n-T-cotorsion-free modules. Also, we give many properties and characteristics of n-T-cotorsion-free modules under the help of semi-Wakamatsu-tilting modules AT.

MSC classification

Primary: 18G35: Chain complexes 16G10: Representations of Artinian rings
Secondary: 18E30: Derived categories, triangulated categories 16E05: Syzygies, resolutions, complexes
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 2 , May 2020 , pp. 297 - 311
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019

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