Rota-Baxter operators on involutive associative algebras
In this paper, we consider Rota–Baxter operators on involutive associative algebras. We define cohomology for Rota–Baxter operators on involutive algebras that governs the formal deformation of the operator. This cohomology can be seen as the Hochschild cohomology of a certain involutive associative...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 3-4 |
| Kulcsszavak: | Matematika, Rota-Baxter operátorok, Algebra |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-616-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/75845 |
| Tartalmi kivonat: | In this paper, we consider Rota–Baxter operators on involutive associative algebras. We define cohomology for Rota–Baxter operators on involutive algebras that governs the formal deformation of the operator. This cohomology can be seen as the Hochschild cohomology of a certain involutive associative algebra with coefficients in a suitable involutive bimodule. We also relate this cohomology with the cohomology of involutive dendriform algebras. Finally, we show that the standard Fard–Guo construction of the functor from the category of dendriform algebras to the category of Rota–Baxter algebras restricts to the involutive case. |
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| Terjedelem/Fizikai jellemzők: | 349-366 |
| ISSN: | 2064-8316 |