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...

Full description

Bibliographic Details
Main Author:	Huishi Li
Format:	Article
Language:	English
Published:	Vladimir Andrunachievici Institute of Mathematics and Computer Science 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

Similar Items

The Grőbner basis of a Catalan path ideal
by: Nantel Bergeron, et al.
Published: (2022-06-01)

On involutive division on monoids
by: Oleg K. Kroytor, et al.
Published: (2021-12-01)

Solving change of basis from Bernstein to Chebyshev polynomials
by: D.A. Wolfram
Published: (2025-06-01)

Orthogonal bases in a topological algebra are Schauder bases
by: Subbash J. Bhatt, et al.
Published: (1992-01-01)

Analogues of the Newton formulas for the block-symmetric polynomials on $\ell_p(\mathbb{C}^s)$
by: V.V. Kravtsiv
Published: (2020-06-01)

Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
by: T.V. Vasylyshyn
Published: (2020-06-01)

Pricing of Commodity and Energy Derivatives for Polynomial Processes
by: Fred Espen Benth
Published: (2021-01-01)

A note on the monomiality principle and generalized polynomials
by: G. Dattoli, et al.
Published: (2001-01-01)

A note on p-solvable and solvable finite groups
by: R. Khazal, et al.
Published: (1994-01-01)

A message recovery attack on multivariate polynomial trapdoor function
by: Rashid Ali, et al.
Published: (2023-08-01)

Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical
by: Kobiljon Abdurasulov, et al.
Published: (2023-02-01)

On the Representations of M-Groups
by: Baghdad Science Journal
Published: (2016-06-01)

Profinite just infinite residually solvable Lie algebras
by: Dario Villanis Ziani
Published: (2023-12-01)

Algebraic Basis of the Algebra of All Symmetric Continuous Polynomials on the Cartesian Product of <i>ℓ</i><sub>p</sub>-Spaces
by: Andriy Bandura, et al.
Published: (2022-01-01)

Solvable product-type system of difference equations whose associated polynomial is of the fourth order
by: Stevo Stevic
Published: (2017-03-01)

Algebra of polynomials /
by: 171757 Lausch, Hans, et al.
Published: (1973)

A New Collocation Scheme Using Non-polynomial Basis Functions
by: Zhang, Chao, et al.
Published: (2017)

Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
by: Archna Kumari, et al.
Published: (2023-07-01)

Applications of Solvable Lie Algebras to a Class of Third Order Equations
by: María S. Bruzón, et al.
Published: (2022-01-01)

Computer-Aided Analysis of Solvable Rigid Lie Algebras with a Given Eigenvalue Spectrum
by: Rutwig Campoamor-Stursberg, et al.
Published: (2022-08-01)

Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra
by: Martin Gavalec, et al.
Published: (2020-06-01)

Finite sums and generalized forms of Bernoulli polynomials
by: G. Dattoli, et al.
Published: (1999-01-01)

Construction of Rank-One Solvable Rigid Lie Algebras with Nilradicals of a Decreasing Nilpotence Index
by: Rutwig Campoamor-Stursberg, et al.
Published: (2023-07-01)

Bernoulli numbers and polynomials from a more general point of view
by: Giuseppe Dattoli, et al.
Published: (2002-01-01)

Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment
by: Sajida Kousar, et al.
Published: (2023-03-01)

Solving recurrences for Legendre–Bernstein basis transformations
by: D.A. Wolfram
Published: (2023-12-01)

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$
by: D.I. Efimov, et al.
Published: (2023-12-01)

A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type
by: Armando Reyes, et al.
Published: (2020-06-01)

A Survey on Orthogonal Polynomials from a Monomiality Principle Point of View
by: Clemente Cesarano, et al.
Published: (2024-09-01)

Representations of quadratic Heisenberg-Weyl algebras and polynomials in the fourth Painlevé transcendent
by: Ian Marquette
Published: (2024-09-01)

More on Codes Over Finite Quotients of Polynomial Rings
by: Emad Kadhim Al-Lami, et al.
Published: (2025-01-01)

A new class of Gould-Hopper-Eulerian-type polynomials
by: Abdulghani Muhyi
Published: (2022-12-01)

A Common Structure in PBW Bases of the Nilpotent Subalgebra of U_q(g)
by: Atsuo Kuniba, et al.
Published: (2013-07-01)

An Algebraic Approach to the Δ<i><sub>h</sub></i>-Frobenius–Genocchi–Appell Polynomials
by: Shahid Ahmad Wani, et al.
Published: (2023-04-01)

Representation of spectra of algebras of block-symmetric analytic functions of bounded type
by: V.V. Kravtsiv, et al.
Published: (2016-12-01)

New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups
by: Marcel Herzog, et al.
Published: (2023-03-01)

Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication
by: D.M. Zhangazinova, et al.
Published: (2023-12-01)

Uniqueness of polynomial and differential monomial
by: Waghamore Harina P., et al.
Published: (2017-12-01)

Cohomology Algebras of a Family of DG Skew Polynomial Algebras
by: Xuefeng Mao, et al.
Published: (2023-03-01)

New Bell–Sheffer Polynomial Sets
by: Pierpaolo Natalini, et al.
Published: (2018-10-01)