A Note on Solvable Polynomial Algebras

A Note on Solvable Polynomial Algebras

In terms of their defining relations, solvable polynomial algebras introduced by Kandri-Rody and Weispfenning [J. Symbolic Comput., 9(1990)] are characterized by employing Gr\"obner bases of ideals in free algebras, thereby solvable polynomial algebras are completely determinable and const...

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Main Author: Huishi Li
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2014-03-01
Series:Computer Science Journal of Moldova
Subjects:
PBW basis
Monomial ordering
Gr\"obner basis
Solvable polynomial algebra
Online Access:http://www.math.md/files/csjm/v22-n1/v22-n1-(pp99-109).pdf
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spelling doaj-6957d408eeea4de5a844b52dc6cb1ec22020-11-24T22:55:08ZengInstitute of Mathematics and Computer Science of the Academy of Sciences of MoldovaComputer Science Journal of Moldova1561-40422014-03-01221(64)99109A Note on Solvable Polynomial AlgebrasHuishi Li0Department of Applied Mathematics, College of Information Science and Technology, Hainan University, Haikou 570228, ChinaIn terms of their defining relations, solvable polynomial algebras introduced by Kandri-Rody and Weispfenning [J. Symbolic Comput., 9(1990)] are characterized by employing Gr\"obner bases of ideals in free algebras, thereby solvable polynomial algebras are completely determinable and constructible in a computational way.http://www.math.md/files/csjm/v22-n1/v22-n1-(pp99-109).pdfPBW basisMonomial orderingGr\"obner basisSolvable polynomial algebra
collection DOAJ
language English
format Article
sources DOAJ
author Huishi Li
spellingShingle Huishi Li
A Note on Solvable Polynomial Algebras
Computer Science Journal of Moldova
PBW basis
Monomial ordering
Gr\"obner basis
Solvable polynomial algebra
author_facet Huishi Li
author_sort Huishi Li
title A Note on Solvable Polynomial Algebras
title_short A Note on Solvable Polynomial Algebras
title_full A Note on Solvable Polynomial Algebras
title_fullStr A Note on Solvable Polynomial Algebras
title_full_unstemmed A Note on Solvable Polynomial Algebras
title_sort note on solvable polynomial algebras
publisher Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova
series Computer Science Journal of Moldova
issn 1561-4042
publishDate 2014-03-01
description In terms of their defining relations, solvable polynomial algebras introduced by Kandri-Rody and Weispfenning [J. Symbolic Comput., 9(1990)] are characterized by employing Gr\"obner bases of ideals in free algebras, thereby solvable polynomial algebras are completely determinable and constructible in a computational way.
topic PBW basis
Monomial ordering
Gr\"obner basis
Solvable polynomial algebra
url http://www.math.md/files/csjm/v22-n1/v22-n1-(pp99-109).pdf
work_keys_str_mv AT huishili anoteonsolvablepolynomialalgebras
AT huishili noteonsolvablepolynomialalgebras
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