Mutations of ordinary torsion theories and generalized torsion theories connected by a Serre subcategory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913359670018048 |
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| author | Yoshizawa, Takeshi |
| author_facet | Yoshizawa, Takeshi |
| contents | Understanding how torsion theories are described and constructed is crucial to the study of torsion theory. Mutations of torsion theories have been studied as a method of constructing another torsion theory from a given one. We have already obtained how to mutate ordinary torsion theories into generalized torsion theories associated with a Serre subcategory. The paper investigates when the generalized torsion theories give ordinary torsion theories and when ordinary torsion theories provide each other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutations of ordinary torsion theories and generalized torsion theories connected by a Serre subcategory Yoshizawa, Takeshi Commutative Algebra Understanding how torsion theories are described and constructed is crucial to the study of torsion theory. Mutations of torsion theories have been studied as a method of constructing another torsion theory from a given one. We have already obtained how to mutate ordinary torsion theories into generalized torsion theories associated with a Serre subcategory. The paper investigates when the generalized torsion theories give ordinary torsion theories and when ordinary torsion theories provide each other. |
| title | Mutations of ordinary torsion theories and generalized torsion theories connected by a Serre subcategory |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2405.14152 |