Article
| Title: | Strongly Gorenstein-projective modules over Nakayama algebras (English) |
| Author: | Luo, Xiu-Hua |
| Author: | Liu, Kui |
| Author: | Zhu, Shijie |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 753-765 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study finitely generated strongly Gorenstein-projective modules over artin algebras and show that each finitely generated strongly Gorenstein-projective module is a direct sum of some indecomposable periodic Gorenstein-projective modules and projective modules. Furthermore, we outline the structure of the category of the finitely generated strongly Gorenstein-projective $\Lambda $-modules, where $\Lambda $ is a Nakayama algebra. (English) |
| Keyword: | (strongly) Gorenstein-projective module |
| Keyword: | Nakayama algebra |
| Keyword: | resolution quiver |
| Keyword: | Gorenstein core |
| MSC: | 16E65 |
| MSC: | 16G10 |
| DOI: | 10.21136/CMJ.2025.0257-24 |
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| Date available: | 2025-09-19T11:44:39Z |
| Last updated: | 2025-09-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153047 |
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