Aut-stable subspaces of Grassmann algebras
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918220641861632 |
|---|---|
| author | Demir, Mithat Konuralp Nazemian, Zahra |
| author_facet | Demir, Mithat Konuralp Nazemian, Zahra |
| contents | Recently, the concept of Aut-stable subspaces has played an important role in the characterization of polynomial rings, a topic that remains a challenging problem in algebraic geometry (see [8]). It turns out that polynomial rings with more than two variables do not have any Aut-stable subspaces over an algebraically closed field of characteristic zero [7]. In this work, we characterize all Aut-stable subspaces and Aut-stable subalgebras of Grassmann algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16945 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Aut-stable subspaces of Grassmann algebras Demir, Mithat Konuralp Nazemian, Zahra Rings and Algebras 15A75, 16W20, 16S99 Recently, the concept of Aut-stable subspaces has played an important role in the characterization of polynomial rings, a topic that remains a challenging problem in algebraic geometry (see [8]). It turns out that polynomial rings with more than two variables do not have any Aut-stable subspaces over an algebraically closed field of characteristic zero [7]. In this work, we characterize all Aut-stable subspaces and Aut-stable subalgebras of Grassmann algebras. |
| title | Aut-stable subspaces of Grassmann algebras |
| topic | Rings and Algebras 15A75, 16W20, 16S99 |
| url | https://arxiv.org/abs/2508.16945 |