Igusa-Todorov properties of recollements of abelian categories
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908848242032640 |
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| author | Yang, Peiru Ma, Yajun Liu, Yu-Zhe |
| author_facet | Yang, Peiru Ma, Yajun Liu, Yu-Zhe |
| contents | In this paper, we investigate the behavior of Igusa-Todorov properties under recollements of abelian categories. In particular, we study how the Igusa-Todorov distances of the categories involved in a recollement are related. Applications are given to Artin algebras, especially to Morita context rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12702 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Igusa-Todorov properties of recollements of abelian categories Yang, Peiru Ma, Yajun Liu, Yu-Zhe Representation Theory Category Theory In this paper, we investigate the behavior of Igusa-Todorov properties under recollements of abelian categories. In particular, we study how the Igusa-Todorov distances of the categories involved in a recollement are related. Applications are given to Artin algebras, especially to Morita context rings. |
| title | Igusa-Todorov properties of recollements of abelian categories |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2601.12702 |