Filtered-graded transfer of noncommutative Gröbner bases

Claudia Gallego

doi:10.15446/recolma.v50n1.62179

Filtered-graded transfer of noncommutative Gröbner bases

Claudia Gallego

Universidad Nacional de Colombia

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

Abstract

As the case of free k-algebras and PBW algebras, given a bijective skew PBW extension A, we will show that it is possible transfer Gröbner bases between A and its associated graded ring.

Original language	English
Pages (from-to)	41-54
Number of pages	14
Journal	Revista Colombiana de Matematicas
Volume	50
Issue number	1
DOIs	https://doi.org/10.15446/recolma.v50n1.62179
State	Published - 2016
Externally published	Yes

Keywords

Filtered module
Graded module
Noncommutative Gröbner bases
Skew PBW extensions

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10.15446/recolma.v50n1.62179

Cite this

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title = "Filtered-graded transfer of noncommutative Gr{\"o}bner bases",

abstract = "As the case of free k-algebras and PBW algebras, given a bijective skew PBW extension A, we will show that it is possible transfer Gr{\"o}bner bases between A and its associated graded ring.",

keywords = "Filtered module, Graded module, Noncommutative Gr{\"o}bner bases, Skew PBW extensions",

author = "Claudia Gallego",

year = "2016",

doi = "10.15446/recolma.v50n1.62179",

language = "English",

volume = "50",

pages = "41--54",

journal = "Revista Colombiana de Matematicas",

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T1 - Filtered-graded transfer of noncommutative Gröbner bases

AU - Gallego, Claudia

PY - 2016

Y1 - 2016

N2 - As the case of free k-algebras and PBW algebras, given a bijective skew PBW extension A, we will show that it is possible transfer Gröbner bases between A and its associated graded ring.

AB - As the case of free k-algebras and PBW algebras, given a bijective skew PBW extension A, we will show that it is possible transfer Gröbner bases between A and its associated graded ring.

KW - Filtered module

KW - Graded module

KW - Noncommutative Gröbner bases

KW - Skew PBW extensions

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U2 - 10.15446/recolma.v50n1.62179

DO - 10.15446/recolma.v50n1.62179

M3 - Article

AN - SCOPUS:85011371453

SN - 0034-7426

VL - 50

SP - 41

EP - 54

JO - Revista Colombiana de Matematicas

JF - Revista Colombiana de Matematicas

IS - 1

ER -

Filtered-graded transfer of noncommutative Gröbner bases

Abstract

Keywords

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