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Gröbner bases and syzygies on bimodules over PBW algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2005 English Publisher:Elsevier BVJournal:Journal of Symbolic Computation, volume 40, pages 1,039-1,052 (issn: 0747-7171, Copyright policy )
Authors: Román, Manuel García; Román, Socorro García;

doi: 10.1016/j.jsc.2005.05.002

Gröbner bases and syzygies on bimodules over PBW algebras

Abstract

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Keywords

Algebra and Number Theory, Poincaré-Birkhoff-Witt algebras, syzygy bimodules, Bimodules, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), enveloping algebras, Computational aspects of associative rings (general theory), Universal enveloping algebras of Lie algebras, Computational Mathematics, left Buchberger algorithm, Syzygy bimodule, Rings of differential operators (associative algebraic aspects), Gröbner bases, Syzygies, resolutions, complexes in associative algebras, two-sided Gröbner bases of ideals, Universal enveloping (super)algebras

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
hybrid
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