The Automorphism groups of zero-dimensional monomial algebras
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915956435976192 |
|---|---|
| author | Díaz, Roberto Liendo, Alvaro Manzano-Flores, Gonzalo Regeta, Andriy |
| author_facet | Díaz, Roberto Liendo, Alvaro Manzano-Flores, Gonzalo Regeta, Andriy |
| contents | A monomial algebra B is defined as a quotient of a polynomial ring by a monomial ideal, which is an ideal generated by a finite set of monomials. In this paper, we determine the automorphism group of a monomial algebra B, under the assumption that B is a finite-dimensional vector space over a field of characteristic zero. We achieve this by providing an explicit classification of the homogeneous locally nilpotent derivations of B. The main body of the paper addresses the more general case of semigroup algebras, with the polynomial ring being a particular case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Automorphism groups of zero-dimensional monomial algebras Díaz, Roberto Liendo, Alvaro Manzano-Flores, Gonzalo Regeta, Andriy Algebraic Geometry 13F55, 13N15, 14L30, 14M25 A monomial algebra B is defined as a quotient of a polynomial ring by a monomial ideal, which is an ideal generated by a finite set of monomials. In this paper, we determine the automorphism group of a monomial algebra B, under the assumption that B is a finite-dimensional vector space over a field of characteristic zero. We achieve this by providing an explicit classification of the homogeneous locally nilpotent derivations of B. The main body of the paper addresses the more general case of semigroup algebras, with the polynomial ring being a particular case. |
| title | The Automorphism groups of zero-dimensional monomial algebras |
| topic | Algebraic Geometry 13F55, 13N15, 14L30, 14M25 |
| url | https://arxiv.org/abs/2408.02197 |