Chouinard's formula for $C$-quasi-injective dimension
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918525372727296 |
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| author | Martins, Paulo |
| author_facet | Martins, Paulo |
| contents | The $C$-quasi-injective dimension is a recently introduced homological invariant that unifies and extends the notions of quasi-injective dimension and of injective dimension with respect to a semidualizing module, previously studied by Gheibi and by Takahashi and White, respectively. In the main results of this paper, we provide extensions of the Bass' formula and a version of the Chouinard's formula for modules of finite $C$-quasi-injective dimension over an arbitatry ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chouinard's formula for $C$-quasi-injective dimension Martins, Paulo Commutative Algebra 13D05, 13D07 The $C$-quasi-injective dimension is a recently introduced homological invariant that unifies and extends the notions of quasi-injective dimension and of injective dimension with respect to a semidualizing module, previously studied by Gheibi and by Takahashi and White, respectively. In the main results of this paper, we provide extensions of the Bass' formula and a version of the Chouinard's formula for modules of finite $C$-quasi-injective dimension over an arbitatry ring. |
| title | Chouinard's formula for $C$-quasi-injective dimension |
| topic | Commutative Algebra 13D05, 13D07 |
| url | https://arxiv.org/abs/2511.00684 |