Gorenstein homological complexes with respect to duality pairs

Guan Jiaai; Lu Bo; Zhao Sixin

doi:10.11714/acta.snus.ZR20250021

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Gorenstein homological complexes with respect to duality pairs

Research articles | 更新时间：2026-07-24

- Gorenstein homological complexes with respect to duality pairs
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 65, Issue 4, Pages: 22-40(2026)
- 作者机构：
  
  西北民族大学数学与计算机科学学院，甘肃兰州 730030
- 作者简介：
  
  Guan Jiaai（3076791341@qq.com）
  Lu Bo（lubo55@126.com）
  Zhao Sixin(y231530348@stu.xbmu.edu.cn)
- 基金信息：
- DOI：10.11714/acta.snus.ZR20250021
  CLC： O153.3
- Received：25 January 2025，
  
  Revised：2026-02-07，
  
  Accepted：07 February 2026，
  
  Online First：28 April 2026，
  
  Published：25 July 2026
- 稿件说明：
移动端阅览
关佳瑷,卢博,赵思信.关于对偶对的Gorenstein同调复形[J].中山大学学报(自然科学版)(中英文),2026,65(04):22-40.

Guan Jiaai,Lu Bo,Zhao Sixin.Gorenstein homological complexes with respect to duality pairs[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(04):22-40.
关佳瑷,卢博,赵思信.关于对偶对的Gorenstein同调复形[J].中山大学学报(自然科学版)(中英文),2026,65(04):22-40. DOI： 10.11714/acta.snus.ZR20250021.

Guan Jiaai,Lu Bo,Zhao Sixin.Gorenstein homological complexes with respect to duality pairs[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(04):22-40. DOI： 10.11714/acta.snus.ZR20250021.

摘要

设

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8.55133343

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是复形的对偶对. 引入并研究了Gorenstein

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8.55133343

3.38666677

-内射复形. 对一些特殊的对偶对

</mo><mi mathvariant="normal">𝒴</mi></mrow></mfenced></math>

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8.55133343

3.38666677

，建立了Gorenstein

</mo><mi mathvariant="normal">𝒴</mi></mrow></mfenced></math>

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8.55133343

3.38666677

-内射复形和它的层次模之间的关系. 最后，得到了复形的Gorenstein

</mo><mi mathvariant="normal">𝒴</mi></mrow></mfenced></math>

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-内射维数的一些等价刻画.

Abstract

Let

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9.90600014

4.14866638

be a duality pair of complexes. In this article

we first introduce and investigate the notion of Gorenstein

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9.90600014

4.14866638

-injective complexes. Moreover

we establish a relationship between a Gorenstein

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9.90600014

4.14866638

-injective complex and its terms for some special duality pairs

</mo><mtext> </mtext><mi mathvariant="normal">𝒴</mi></mrow></mfenced></math>

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9.90600014

4.14866638

. Finally

we obtain some equivalent characterizations of Gorenstein

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9.90600014

4.14866638

-injective dimensions of complexes.

关键词

Keywords

references

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Bravo D ， Gillespie J ， 2016 . Absolutely clean， level， and Gorenstein AC-injective complexes ［J］. Commun Algebra ， 44 （ 5 ）： 2213 - 2233 .

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Related Author

GUAN Jiaai

LU Bo

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Related Institution

College of Mathematics and Computer Science, Northwest Minzu University

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