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 suffic...

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Fecha de publicación:: 2021

Institución:: Universidad Pedagógica y Tecnológica de Colombia

Repositorio:: RiUPTC: Repositorio Institucional UPTC

Idioma:: spa

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network_acronym_str	REPOUPTC2
network_name_str	RiUPTC: Repositorio Institucional UPTC
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spelling	2021-01-082024-07-08T14:24:02Z2024-07-08T14:24:02Zhttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/1193710.19053/01217488.v12.n1.2021.11937https://repositorio.uptc.edu.co/handle/001/15304In 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.  application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937/10688Derechos de autor 2021 CIENCIA EN DESARROLLOhttp://purl.org/coar/access_right/c_abf2Ciencia En Desarrollo; Vol. 12 No. 1 (2021): Vol 12, Núm.1 (2021): Enero-Junio; 33-41Ciencia en Desarrollo; Vol. 12 Núm. 1 (2021): Vol 12, Núm.1 (2021): Enero-Junio; 33-412462-76580121-7488Extensión PBW torcida graduada, propiedad χ, PI-algebra.Graded skew PBW extension, χ property, PI-algebra.χ property in graded skew PBW extensionsPropiedad χ en extensiones PBW torcidas graduadasinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Suárez, HéctorAnaya, FabiánReyes, Armando001/15304oai:repositorio.uptc.edu.co:001/153042025-07-18 10:56:40.239metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv	χ property in graded skew PBW extensions
dc.title.es-ES.fl_str_mv	Propiedad χ en extensiones PBW torcidas graduadas
title	χ property in graded skew PBW extensions
spellingShingle	χ property in graded skew PBW extensions Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra.
title_short	χ property in graded skew PBW extensions
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_sort	χ property in graded skew PBW extensions
dc.subject.es-ES.fl_str_mv	Extensión PBW torcida graduada, propiedad χ, PI-algebra.
topic	Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra.
dc.subject.en-US.fl_str_mv	Graded skew PBW extension, χ property, PI-algebra.
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.
publishDate	2021
dc.date.accessioned.none.fl_str_mv	2024-07-08T14:24:02Z
dc.date.available.none.fl_str_mv	2024-07-08T14:24:02Z
dc.date.none.fl_str_mv	2021-01-08
dc.type.none.fl_str_mv	info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv	http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937 10.19053/01217488.v12.n1.2021.11937
dc.identifier.uri.none.fl_str_mv	https://repositorio.uptc.edu.co/handle/001/15304
url	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937 https://repositorio.uptc.edu.co/handle/001/15304
identifier_str_mv	10.19053/01217488.v12.n1.2021.11937
dc.language.none.fl_str_mv	spa
dc.language.iso.none.fl_str_mv	spa
language	spa
dc.relation.none.fl_str_mv	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937/10688
dc.rights.es-ES.fl_str_mv	Derechos de autor 2021 CIENCIA EN DESARROLLO
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv	Derechos de autor 2021 CIENCIA EN DESARROLLO http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv	application/pdf
dc.publisher.es-ES.fl_str_mv	Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv	Ciencia En Desarrollo; Vol. 12 No. 1 (2021): Vol 12, Núm.1 (2021): Enero-Junio; 33-41
dc.source.es-ES.fl_str_mv	Ciencia en Desarrollo; Vol. 12 Núm. 1 (2021): Vol 12, Núm.1 (2021): Enero-Junio; 33-41
dc.source.none.fl_str_mv	2462-7658 0121-7488
institution	Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv	Repositorio Institucional UPTC
repository.mail.fl_str_mv	repositorio.uptc@uptc.edu.co
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χ property in graded skew PBW extensions

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