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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.14843 |
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| _version_ | 1866915743312904192 |
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| author | Rundsveen, Endre Sørmo |
| author_facet | Rundsveen, Endre Sørmo |
| contents | We study the extended module category $m\operatorname{-mod}Λ$ of an algebra $Λ$, recently introduced by Gupta and Zhou. The existence of a postprojective component of $m\operatorname{-mod}Λ$ is shown for certain algebras $Λ$, and a knitting algorithm through cohomological dimension vectors is provided.
In particular, the extended module category of Nakayama algebras with homogeneous relations are investigated, and it is classified when they are of finite type. The paper give fully calculated AR-quivers for several Nakayama algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14843 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on the $m$-extended module categories of Nakayama algebras Rundsveen, Endre Sørmo Representation Theory We study the extended module category $m\operatorname{-mod}Λ$ of an algebra $Λ$, recently introduced by Gupta and Zhou. The existence of a postprojective component of $m\operatorname{-mod}Λ$ is shown for certain algebras $Λ$, and a knitting algorithm through cohomological dimension vectors is provided. In particular, the extended module category of Nakayama algebras with homogeneous relations are investigated, and it is classified when they are of finite type. The paper give fully calculated AR-quivers for several Nakayama algebras. |
| title | A note on the $m$-extended module categories of Nakayama algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2601.14843 |