Artículo

Projective modules and Gröbner bases for skew PBW extensions

Lezama Serrano, José Oswaldo; Gallego Joya, Claudia MilenaIcon
Fecha de publicación: 01/2017
Editorial: Polish Academy of Sciences. Institute of Mathematics
Revista: Dissertationes Mathematicae
ISSN: 0012-3862
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincare- Birkhoff Witt) extensions. In the present paper we study two aspects of these non-commutative rings: their finitely generated projective modules from a matrix-constructive approach, and the construction of the Gröbner theory for their left ideals and modules. These two topics have interesting applications in functional linear systems and in non-commutative geometry.
Palabras clave: Buchberger&Rsquo;S Algorithm , Hermite Rings , Matrix-Constructive Methods , Non-Commutative GrÖBner Bases , Projective Modules , Skew Pbw Extensions , Stable Rank , Stably Free Modules
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/68736
DOI: http://dx.doi.org/10.4064/dm747-4-2016
URL: https://www.impan.pl/en/publishing-house/journals-and-series/dissertationes-math
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Lezama Serrano, José Oswaldo; Gallego Joya, Claudia Milena; Projective modules and Gröbner bases for skew PBW extensions; Polish Academy of Sciences. Institute of Mathematics; Dissertationes Mathematicae; 521; 1-2017; 1-50
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