Artículo
Projective modules and Gröbner bases for skew PBW extensions
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.
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
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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