$ω$-left approximation dimensions under Stable equivalence
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918090618437632 |
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| author | Sun, Juxiang Zhao, Guoqiang Zheng, Junling |
| author_facet | Sun, Juxiang Zhao, Guoqiang Zheng, Junling |
| contents | In this paper, we investigate some transfer properties of $ω$-left approximation dimensions of modules of stably equivalent Artin algebras having neither nodes nor semisimple direct summands. As applications, we give a one-to-one correspondence between basic (Wakamatsu) tilting modules, and prove that the Wakamatsu tilting conjecture is preserved under those equivalences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $ω$-left approximation dimensions under Stable equivalence Sun, Juxiang Zhao, Guoqiang Zheng, Junling Representation Theory 16D20, 16E30 In this paper, we investigate some transfer properties of $ω$-left approximation dimensions of modules of stably equivalent Artin algebras having neither nodes nor semisimple direct summands. As applications, we give a one-to-one correspondence between basic (Wakamatsu) tilting modules, and prove that the Wakamatsu tilting conjecture is preserved under those equivalences. |
| title | $ω$-left approximation dimensions under Stable equivalence |
| topic | Representation Theory 16D20, 16E30 |
| url | https://arxiv.org/abs/2507.09286 |