χ property in graded skew PBW extensions
In this paper we study the χ property for algebras which are graded skew PBW extensions. It is shown that if R = ⊕p≥0Rp is a noetherian N-graded algebra and A = σ(R)⟨x1,...,xn⟩ is a graded quasi-commutative skew PBW extension of R, then A satisfies χ if and only if R satisfies χ. Also we give suf...
| Main Authors: | , , |
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2021
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937 |
| _version_ | 1801706348043304960 |
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| author | Suárez, Héctor Anaya, Fabián Reyes, Armando |
| author_facet | Suárez, Héctor Anaya, Fabián Reyes, Armando |
| author_sort | Suárez, Héctor |
| collection | OJS |
| description |
In this paper we study the χ property for algebras which are graded skew PBW extensions. It is shown that if R = ⊕p≥0Rp is a noetherian N-graded algebra and A = σ(R)⟨x1,...,xn⟩ is a graded quasi-commutative skew PBW extension of R, then A satisfies χ if and only if R satisfies χ. Also we give sufficient conditions for that a graded skew PBW extension of R satisfies χ.
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| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-11937 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2021 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-119372021-12-14T02:35:17Z χ property in graded skew PBW extensions Propiedad χ en extensiones PBW torcidas graduadas Suárez, Héctor Anaya, Fabián Reyes, Armando Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra. In this paper we study the χ property for algebras which are graded skew PBW extensions. It is shown that if R = ⊕p≥0Rp is a noetherian N-graded algebra and A = σ(R)⟨x1,...,xn⟩ is a graded quasi-commutative skew PBW extension of R, then A satisfies χ if and only if R satisfies χ. Also we give sufficient conditions for that a graded skew PBW extension of R satisfies χ. En este artículo estudiamos la propiedad χ de álgebras que son extensiones PBW torcidas graduadas. Demostramos que si R = ⊕p≥0Rp es un álgebra noetheriana N-graduada y A = σ(R)⟨x1,...,xn⟩ es una extensión PBW torcida cuasi-conmutativa graduada de R, entonces A satisface χ si y solo si R satisface χ. También damos condiciones suficientes para que una extensión PBW torcida graduada de R satisfaga χ. Universidad Pedagógica y Tecnológica de Colombia 2021-01-08 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937 10.19053/01217488.v12.n1.2021.11937 Ciencia En Desarrollo; Vol. 12 No. 1 (2021): Vol 12, Núm.1 (2021): Enero-Junio; 33-41 Ciencia en Desarrollo; Vol. 12 Núm. 1 (2021): Vol 12, Núm.1 (2021): Enero-Junio; 33-41 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937/10688 Derechos de autor 2021 CIENCIA EN DESARROLLO |
| spellingShingle | Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra. Suárez, Héctor Anaya, Fabián Reyes, Armando χ property in graded skew PBW extensions |
| title | χ property in graded skew PBW extensions |
| title_alt | Propiedad χ en extensiones PBW torcidas graduadas |
| title_full | χ property in graded skew PBW extensions |
| title_fullStr | χ property in graded skew PBW extensions |
| title_full_unstemmed | χ property in graded skew PBW extensions |
| title_short | χ property in graded skew PBW extensions |
| title_sort | χ property in graded skew pbw extensions |
| topic | Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra. |
| topic_facet | Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra. |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937 |
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