Journal of Jianghan University (Natural Science Edition) ›› 2023, Vol. 51 ›› Issue (4): 23-28.doi: 10.16389/j.cnki.cn42-1737/n.2023.04.003
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LI Yanwu,CHEN Qianqian
Published:
Abstract: The Gorenstein projective and Gorenstein injective properties of modules over rings were studied. Firstly,under the framework of an Artin ring,the sufficient and necessary conditions for any left R-module to be a Gorenstein projective module and a Gorenstein injective module were discussed by the characterization condition of a special ring. Then,the Gorenstein projective and Gorenstein injective properties of modules over a general ring were described in terms of the embeddability of the right R-module to free Rmodules and projective modules,as well as the zero-dependent lifting chain. The results of the existing literature were partially extended.
Key words: Gorenstein projectivity, lGorenstein injectivity, lQF-ring, Artin ring
CLC Number:
O153.3
LI Yanwu,CHEN Qianqian. Gorenstein Projective and Gorenstein Injective Properties of Modules over Special Rings[J]. Journal of Jianghan University (Natural Science Edition), 2023, 51(4): 23-28.
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URL: https://qks.jhun.edu.cn/jhdx_zk/EN/10.16389/j.cnki.cn42-1737/n.2023.04.003
https://qks.jhun.edu.cn/jhdx_zk/EN/Y2023/V51/I4/23