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浙江大学学报（理学版）
Journal of Zhejiang University (Science Edition)  2022, Vol. 49 Issue (6): 657-661    DOI: 10.3785/j.issn.1008-9497.2022.06.002
Mathematics and Computer Science     
Study on Cartan-Eilenberg VW-Gorenstein complexes
Yujuan JIAO()
College of Mathematics and Computer Science，Northwest Minzu University，Lanzhou 730030，China
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Abstract  

Let V,W be two classes of modules which satisfy some mild conditions. It is shown that every CE VW-orenstein complex has a complete CE VW-resolution. Furthermore, we show that CE VW-Gorenstein complexes possess the feature of stability.

Key words： VW-Gorenstein module      CE VW-Gorenstein complex      complete CE VW-resolution      stability     
Received: 03 September 2021      Published: 23 November 2022
CLC:  O 154.2  
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Cite this article:

Yujuan JIAO. Study on Cartan-Eilenberg VW-Gorenstein complexes. Journal of Zhejiang University (Science Edition), 2022, 49(6): 657-661.

URL:

https://www.zjujournals.com/sci/EN/Y2022/V49/I6/657


Cartan-Eilenberg VW-Gorenstein复形研究

设V，W是2个满足特定条件的模类，证明了Cartan-Eilenberg （CE） VW-Gorenstein复形存在完备CE VW-分解。并进一步证明了CE VW-Gorenstein复形具有稳定性。


关键词： VW-Gorenstein模,  CE VW-Gorenstein复形,  完备CE VW-分解,  稳定性 
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