Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912976457433088 |
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| author | Kaygorodov, Ivan Uzakbaev, Naurizbay |
| author_facet | Kaygorodov, Ivan Uzakbaev, Naurizbay |
| contents | This paper introduces and investigates some properties of algebras constructed from the algebra of polynomials via derivation and integration operators using a process presented by Dzhumadildaev in a previous work. In particular, we discover new classes of infinite-dimensional simple conservative algebras and describe derivations of these algebras of ranks 1 and 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20302 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials Kaygorodov, Ivan Uzakbaev, Naurizbay Rings and Algebras 17A30 This paper introduces and investigates some properties of algebras constructed from the algebra of polynomials via derivation and integration operators using a process presented by Dzhumadildaev in a previous work. In particular, we discover new classes of infinite-dimensional simple conservative algebras and describe derivations of these algebras of ranks 1 and 2. |
| title | Integro-derivation Dzhumadildaev algebras: from the algebra of polynomials |
| topic | Rings and Algebras 17A30 |
| url | https://arxiv.org/abs/2603.20302 |