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dc.contributor.author
Lezama Serrano, José Oswaldo  
dc.contributor.author
Gallego Joya, Claudia Milena  
dc.date.available
2019-01-28T17:16:12Z  
dc.date.issued
2017-01  
dc.identifier.citation
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  
dc.identifier.issn
0012-3862  
dc.identifier.uri
http://hdl.handle.net/11336/68736  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Polish Academy of Sciences. Institute of Mathematics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Buchberger&Rsquo;S Algorithm  
dc.subject
Hermite Rings  
dc.subject
Matrix-Constructive Methods  
dc.subject
Non-Commutative GrÖBner Bases  
dc.subject
Projective Modules  
dc.subject
Skew Pbw Extensions  
dc.subject
Stable Rank  
dc.subject
Stably Free Modules  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Projective modules and Gröbner bases for skew PBW extensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-01-23T17:19:11Z  
dc.journal.volume
521  
dc.journal.pagination
1-50  
dc.journal.pais
Polonia  
dc.description.fil
Fil: Lezama Serrano, José Oswaldo. Universidad Nacional de Colombia; Colombia  
dc.description.fil
Fil: Gallego Joya, Claudia Milena. Universidad Nacional de Colombia; Colombia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Dissertationes Mathematicae  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4064/dm747-4-2016  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.impan.pl/en/publishing-house/journals-and-series/dissertationes-mathematicae/all/521/0/92028/projective-modules-and-grobner-bases-for-skew-pbw-extensions  

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