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IMI/Publicaţii/CSJM/Ediţii/CSJM v.22, n.1 (64), 2014/

A Note on Solvable Polynomial Algebras

Authors: Huishi Li
Keywords: PBW basis, Monomial ordering, GrÄobner basis, Solvable polynomial algebra.

Abstract

In terms of their defining relations, solvable polynomial algebras introduced by Kandri-Rody and Weispfenning [J. Symbolic Comput., 9(1990)] are characterized by employing Gröobner bases of ideals in free algebras, thereby solvable polynomial algebras are completely determinable and constructible in a computational way.

Department of Applied Mathematics,
College of Information Science and Technology
Hainan University, Haikou 570228, China
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