Valuations of skew quantum polynomials
In this paper, we extend some results obtained by Artamonov and Sabitov for quantum polynomials to skew quantum polynomials and quasi-commutative bijective skew Poincaré?Birkhoff?Witt (PBW) extensions. Moreover, we find a counterexample to the conjecture proposed in [V. A. Artamonov, Quantum Polynom...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/18907 |
| Acceso en línea: | http://hdl.handle.net/11336/18907 |
| Access Level: | acceso abierto |
| Palabra clave: | Skew PBW extensions skew quantum polynomials Ore domains Valuations https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper, we extend some results obtained by Artamonov and Sabitov for quantum polynomials to skew quantum polynomials and quasi-commutative bijective skew Poincaré?Birkhoff?Witt (PBW) extensions. Moreover, we find a counterexample to the conjecture proposed in [V. A. Artamonov, Quantum Polynomial, Advances in Algebra and Combinatorics (World Scientific, 2008)]. |
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