Cotilting duality for Artinian rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913712674177024 |
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| author | Mantese, Francesca Martini, Lorenzo |
| author_facet | Mantese, Francesca Martini, Lorenzo |
| contents | A classical result due to Morita and Azumaya establishes that given two arbitrary rings, any duality between their finitely generated modules is representable by a faithfully balanced bimodule which is a finitely generated injective cogenerator of both rings and, equivalently, these latter are one-sided artinian. We extend this well-known result to the case of a cotilting bimodule, by analysing the duality it represents in the bounded derived categories of the given rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20901 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cotilting duality for Artinian rings Mantese, Francesca Martini, Lorenzo Rings and Algebras 16D90, 16G10, 18G80 A classical result due to Morita and Azumaya establishes that given two arbitrary rings, any duality between their finitely generated modules is representable by a faithfully balanced bimodule which is a finitely generated injective cogenerator of both rings and, equivalently, these latter are one-sided artinian. We extend this well-known result to the case of a cotilting bimodule, by analysing the duality it represents in the bounded derived categories of the given rings. |
| title | Cotilting duality for Artinian rings |
| topic | Rings and Algebras 16D90, 16G10, 18G80 |
| url | https://arxiv.org/abs/2502.20901 |