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DING-GRADED MODULES AND GORENSTEIN GR-FLAT MODULES

Part of: Rings and algebras with additional structure Modules, bimodules and ideals

Published online by Cambridge University Press:  02 November 2017

LIXIN MAO
LIXIN MAO*
Affiliation:
Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China e-mail: maolx2@hotmail.com
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Abstract

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Let R be a graded ring. We introduce the concepts of Ding gr-injective and Ding gr-projective R-modules, which are the graded analogues of Ding injective and Ding projective modules. Several characterizations and properties of Ding gr-injective and Ding gr-projective modules are obtained. In addition, we investigate the relationships among Gorenstein gr-flat, Ding gr-injective and Ding gr-projective modules.

MSC classification

Primary: 16W50: Graded rings and modules
Secondary: 16D40: Free, projective, and flat modules and ideals 16D50: Injective modules, self-injective rings
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 2 , May 2018 , pp. 339 - 360
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

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