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Projective modules and Gröbner bases for skew PBW extensions

Lezama Serrano, José Oswaldo et al · Polish Academy of Sciences. Institute of Mathematics · 2017

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Author / responsible party
Lezama Serrano, José Oswaldo et al
Publisher
Polish Academy of Sciences. Institute of Mathematics
Year
2017
ISSN
0012-3862
ISSN
0012-3862
Language
English

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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. Fil: Lezama Serrano, José Oswaldo. Universidad Nacional de Colombia; Colombia Fil: Gallego Joya, Claudia Milena. Universidad Nacional de Colombia; Colombia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina

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APA 7

Lezama Serrano, J. O. E. A. (2017). Projective modules and Gröbner bases for skew PBW extensions. http://hdl.handle.net/11336/68736

MLA

Lezama Serrano, José Oswaldo et al. "Projective modules and Gröbner bases for skew PBW extensions." 2017. http://hdl.handle.net/11336/68736.

Chicago

Lezama Serrano, José Oswaldo et al. 2017. "Projective modules and Gröbner bases for skew PBW extensions.". http://hdl.handle.net/11336/68736.

Harvard

Lezama Serrano, J. O. E. A. 2017, Projective modules and Gröbner bases for skew PBW extensions, Polish Academy of Sciences. Institute of Mathematics, available at: http://hdl.handle.net/11336/68736 [Accessed 5 Aug. 2026].

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Title
Projective modules and Gröbner bases for skew PBW extensions
Author / contributors
Lezama Serrano, José Oswaldo et al
Publisher
Polish Academy of Sciences. Institute of Mathematics
Publication year
2017
ISSN
0012-3862
ISSN
0012-3862
Language
English

Subjects

Explore related resources through these subjects.

Buchberger&Rsquo;S Algorithm; Hermite Rings; Matrix-Constructive Methods; Non-Commutative GrÖBner Bases; Projective Modules; Skew Pbw Extensions; Stable Rank; Stably Free Modules; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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