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

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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’s theorem about the radical of finitely generated ideals for some particular types of skew PBW extensions.

Original language	English
Pages (from-to)	60-72
Number of pages	13
Journal	Sao Paulo Journal of Mathematical Sciences
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s40863-015-0010-8
State	Published - 01 Jun 2016
Externally published	Yes

Keywords

d-Hermite rings
Kronecker’s theorem
Skew PBW extensions
Stable range theorem

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10.1007/s40863-015-0010-8

Cite this

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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",

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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

Abstract

Keywords

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