$n$-cotorsion pairs over formal triangular matrix rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912232037679104 |
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| author | Long, Taolue Zhang, Xiaoxiang |
| author_facet | Long, Taolue Zhang, Xiaoxiang |
| contents | Let $Λ=\begin{pmatrix}A & 0 \\U & B \end{pmatrix}$ be a formal triangular matrix ring where $A,B$ are rings and $U$ is a $(B,A)$-bimodule. In this paper, we study some special classes over the formal triangular matrix ring $Λ$. Further, using these special classes, we construct a left (resp. right) $n$-cotorsion pair over the formal triangular matrix ring $Λ$ from left (resp. right) $n$-cotorsion pairs over $A$ and $B$. Finally, we give an example to illustrate our main result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09895 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $n$-cotorsion pairs over formal triangular matrix rings Long, Taolue Zhang, Xiaoxiang Rings and Algebras 16D90, 18G25 Let $Λ=\begin{pmatrix}A & 0 \\U & B \end{pmatrix}$ be a formal triangular matrix ring where $A,B$ are rings and $U$ is a $(B,A)$-bimodule. In this paper, we study some special classes over the formal triangular matrix ring $Λ$. Further, using these special classes, we construct a left (resp. right) $n$-cotorsion pair over the formal triangular matrix ring $Λ$ from left (resp. right) $n$-cotorsion pairs over $A$ and $B$. Finally, we give an example to illustrate our main result. |
| title | $n$-cotorsion pairs over formal triangular matrix rings |
| topic | Rings and Algebras 16D90, 18G25 |
| url | https://arxiv.org/abs/2502.09895 |