Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913119386730496 |
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| author | Divaani-Aazar, Kamran Fallah, Ali Mahin Tousi, Massoud |
| author_facet | Divaani-Aazar, Kamran Fallah, Ali Mahin Tousi, Massoud |
| contents | Let R be an associative ring with identity. We introduce an equivalence relation on the class of Wakamatsu tilting right R modules. By using this equivalence relation, we extend the Mantese Reiten theorems from the setting of Artin algebras to that of arbitrary associative rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11600 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories Divaani-Aazar, Kamran Fallah, Ali Mahin Tousi, Massoud Representation Theory 18E30, 16G99, 18G05, 18G35 Let R be an associative ring with identity. We introduce an equivalence relation on the class of Wakamatsu tilting right R modules. By using this equivalence relation, we extend the Mantese Reiten theorems from the setting of Artin algebras to that of arbitrary associative rings. |
| title | Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories |
| topic | Representation Theory 18E30, 16G99, 18G05, 18G35 |
| url | https://arxiv.org/abs/2512.11600 |