Module factorizations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909753904463872 |
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| author | Chen, Xiao-Wu |
| author_facet | Chen, Xiao-Wu |
| contents | For a regular normal element in an arbitrary ring, we study the category of its module factorizations. The cokernel functor relates module factorizations with Gorenstein projective components to Gorenstein projective modules over the quotient ring. The results are vast extensions of Eisenbud's matrix factorization theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Module factorizations Chen, Xiao-Wu Rings and Algebras Mathematical Physics Representation Theory 16E65, 18G25, 18G80, 18G20, 18G65 For a regular normal element in an arbitrary ring, we study the category of its module factorizations. The cokernel functor relates module factorizations with Gorenstein projective components to Gorenstein projective modules over the quotient ring. The results are vast extensions of Eisenbud's matrix factorization theorem. |
| title | Module factorizations |
| topic | Rings and Algebras Mathematical Physics Representation Theory 16E65, 18G25, 18G80, 18G20, 18G65 |
| url | https://arxiv.org/abs/2402.11613 |