Varieties of initial dialgebras and some of their Koszul dual operads
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866914579955580928 |
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| author | Dauletiyarova, Aigerim Makhlouf, Abdenacer Sartayev, Bauyrzhan |
| author_facet | Dauletiyarova, Aigerim Makhlouf, Abdenacer Sartayev, Bauyrzhan |
| contents | In this paper, for a given variety $\Var$, we present a universal algorithm for constructing a subvariety of $\Var$-dialgebras from which one can recover an algebra belonging to $\Var$. Such a subvariety is called the variety of initial $\Var$-dialgebras. In addition, we construct a basis of the free initial Lie and associative dialgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16619 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Varieties of initial dialgebras and some of their Koszul dual operads Dauletiyarova, Aigerim Makhlouf, Abdenacer Sartayev, Bauyrzhan Rings and Algebras In this paper, for a given variety $\Var$, we present a universal algorithm for constructing a subvariety of $\Var$-dialgebras from which one can recover an algebra belonging to $\Var$. Such a subvariety is called the variety of initial $\Var$-dialgebras. In addition, we construct a basis of the free initial Lie and associative dialgebras. |
| title | Varieties of initial dialgebras and some of their Koszul dual operads |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2601.16619 |