d-Hermite rings and skew PBW extensions

Oswaldo Lezama; Claudia Gallego

doi:10.1007/s40863-015-0010-8

d-Hermite rings and skew PBW extensions

Oswaldo Lezama
, Claudia Gallego

Universidad Nacional de Colombia
Grupo de Álgebra Conmutativa Computacional - SAC

Producción: Contribución a una revista › Artículo › revisión exhaustiva

17 Citas (Scopus)

Resumen

In this short paper we study the d-Hermite condition about stably free modules for skew PBW extensions. For this purpose, we estimate the stable rank of these non-commutative rings. In addition, and closely related with these questions, we will prove Kronecker’s theorem about the radical of finitely generated ideals for some particular types of skew PBW extensions.

Idioma original	Inglés
Páginas (desde-hasta)	60-72
Número de páginas	13
Publicación	Sao Paulo Journal of Mathematical Sciences
Volumen	10
N.º	1
DOI	https://doi.org/10.1007/s40863-015-0010-8
Estado	Publicada - 01 jun 2016
Publicado de forma externa	Sí

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abstract = "In this short paper we study the d-Hermite condition about stably free modules for skew PBW extensions. For this purpose, we estimate the stable rank of these non-commutative rings. In addition, and closely related with these questions, we will prove Kronecker{\textquoteright}s theorem about the radical of finitely generated ideals for some particular types of skew PBW extensions.",

keywords = "d-Hermite rings, Kronecker{\textquoteright}s theorem, Skew PBW extensions, Stable range theorem",

author = "Oswaldo Lezama and Claudia Gallego",

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AU - Gallego, Claudia

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AB - In this short paper we study the d-Hermite condition about stably free modules for skew PBW extensions. For this purpose, we estimate the stable rank of these non-commutative rings. In addition, and closely related with these questions, we will prove Kronecker’s theorem about the radical of finitely generated ideals for some particular types of skew PBW extensions.

KW - d-Hermite rings

KW - Kronecker’s theorem

KW - Skew PBW extensions

KW - Stable range theorem

UR - https://www.scopus.com/pages/publications/85017302355

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d-Hermite rings and skew PBW extensions

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