| 题名 | A generalized Auslander-Reiten duality and relatively projective modules |
| 作者 | |
| 通讯作者 | Huang, Xin |
| 发表日期 | 2024-09-01
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| DOI | |
| 发表期刊 | |
| ISSN | 0092-7872
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| EISSN | 1532-4125
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| 摘要 | Given a field k and a subgroup H of a finite group G, we define a duality for quotients of homomorphisms of kG-modules modulo kG-homomorphisms that factors through a relatively H-projective kG-module. This generalizes the classical Auslander-Reiten duality for group algebras. As an application, we use the generalized Auslander-Reiten duality to give a new way for constructing almost split sequences. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 第一
|
| 资助项目 | Startup Foundation of Shenzhen[Y01916102]
; NSFC["12071168","12271446","12001032","12350710787","11901028"]
; China Postdoctoral Science Foundation[2023T160290]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics
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| WOS记录号 | WOS:001319421600001
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| 出版者 | |
| 来源库 | Web of Science
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| 引用统计 | |
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/834334 |
| 专题 | 南方科技大学 |
| 作者单位 | 1.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Shenzhen 518055, Peoples R China 2.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 3.Beijing Univ Chem Technol, Coll Math & Phys, Beijing, Peoples R China |
| 第一作者单位 | 南方科技大学 |
| 第一作者的第一单位 | 南方科技大学 |
| 推荐引用方式 GB/T 7714 |
Feng, Zhicheng,Huang, Xin,Li, Zhenye. A generalized Auslander-Reiten duality and relatively projective modules[J]. COMMUNICATIONS IN ALGEBRA,2024.
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| APA |
Feng, Zhicheng,Huang, Xin,&Li, Zhenye.(2024).A generalized Auslander-Reiten duality and relatively projective modules.COMMUNICATIONS IN ALGEBRA.
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| MLA |
Feng, Zhicheng,et al."A generalized Auslander-Reiten duality and relatively projective modules".COMMUNICATIONS IN ALGEBRA (2024).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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