On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909165954269184 |
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| author | Tilahun, Abebaw Amanuel, Mamo S. David, Ssevviiri Zelalem, Teshome |
| author_facet | Tilahun, Abebaw Amanuel, Mamo S. David, Ssevviiri Zelalem, Teshome |
| contents | Let A be a commutative unital ring and a an ideal in it. We define and study a-reduced complexes and a-coreduced complexes in both the category of chain complexes of A-modules as well as in the derived category of A-modules. We show that these two types of complexes give rise to variants of the well known Greenlees-May duality and the Matlis-Greenlees-May equivalence in the aforementioned categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_14596 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence Tilahun, Abebaw Amanuel, Mamo S. David, Ssevviiri Zelalem, Teshome Rings and Algebras Commutative Algebra Representation Theory 13D07, 13D09, 18A40, 18G35, 18A35 Let A be a commutative unital ring and a an ideal in it. We define and study a-reduced complexes and a-coreduced complexes in both the category of chain complexes of A-modules as well as in the derived category of A-modules. We show that these two types of complexes give rise to variants of the well known Greenlees-May duality and the Matlis-Greenlees-May equivalence in the aforementioned categories. |
| title | On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence |
| topic | Rings and Algebras Commutative Algebra Representation Theory 13D07, 13D09, 18A40, 18G35, 18A35 |
| url | https://arxiv.org/abs/2209.14596 |