Gröbner δ-bases and Gröbner bases for differential operators (original) (raw)

Gr\" obner delta\ delta delta-bases and Gr\" obner bases for differential operators

M. Moreno-Frías

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On Computing Gröbner Bases in Rings of Differential Operators with Coefficients in a Ring

F. Winkler

Mathematics in Computer Science, 2007

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Gröbner bases in difference-differential modules and difference-differential dimension polynomials

F. Winkler

Science in China Series A: Mathematics, 2008

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Reduced Gröbner Bases, Free Difference–Differential Modules and Difference–Differential Dimension Polynomials

Alexander Boris Levin

Journal of Symbolic Computation, 2000

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Grobner Bases in Dierence-Dierent ial Modules

F. Winkler

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Grobner bases in difierence-difierential modules and difierence-difierential dimension polynomials

F. Winkler

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Free integro-differential algebras and Gröbner–Shirshov bases

Markus Rosenkranz

Journal of Algebra, 2015

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An application of Grobner bases to some Weitzenbock derivations

Andrzej Nowicki

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Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers

Kenji Iohara

Algorithms and computation in mathematics, 2020

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2 8 Se p 20 04 Unital Gröbner Bases over Aribtrary Commutative Ground Rings

Robert Pawloski

2008

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On the 3-generated commutative rings of differential operators

George Shabat

Journal of Mathematical Sciences

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An introduction to commutative and noncommutative Gröbner bases

Teo Mora

Theoretical Computer Science, 1994

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Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules

F. Winkler

Journal of Symbolic Computation, 2008

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Gröbner bases with respect to several orderings and multivariable dimension polynomials

Alexander Boris Levin

Journal of Symbolic Computation, 2007

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Some constructions in rings of differential polynomials

Bud Mishra

1991

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EXPLICIT CALCULATIONS IN RINGS OF DIFFERENTIAL OPERATORS

Francisco Castro

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Unital Grobner Bases over Arbitrary Ground Rings

Robert Pawloski

2004

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Gr¨obnergr¨ Gr¨obner Basis in Algebras Extended by Loops

Eduardo N Marcos

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1 Rings of Differential Operators on Curves

Agata Smoktunowicz

2016

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Gröbner Bases for the Polynomial Ring with Infinite Variables and Their Applications

Kei-ichiro Iima, Yuji Yoshino

Communications in Algebra, 2009

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Rings of differential operators on curves

Agata Smoktunowicz

Israel Journal of Mathematics, 2012

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Some Algebras in Terms of Differential Operators

ghorban soleymanpour

International Electronic Journal of Algebra, 2021

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Grobner-Shirshov Bases and Embeddings of Algebras

L. Bokut

2010

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Modules over differential polynomial rings

Richard Block

Bulletin of the American Mathematical Society, 1973

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Gröbner bases of ideals given by dual bases

Teo Mora

1991

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Commutative Algebras of Ordinary Differential Operators with Matrix Coefficients

Motohico Mulase

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Modules of differential operators on the real line

Valentin Ovsienko

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A Systematic Study of Gröbner Basis Methods

Bagus Anggriawan

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Some algebraic properties of differential operators

Alberto De Sole

Journal of Mathematical Physics, 2012

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Grobner bases, local cohomology and reduction number

Trung Ngô

Proceedings of the American Mathematical Society

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Gröbner bases of ideals invariant under endomorphisms

Roberto La Scala, Vesselin Drensky

Journal of Symbolic Computation, 2006

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Structure of Gröbner Bases with Respect to Elimination Orders

Said Rakrak

2005

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The module of derivations preserving a monomial ideal

Yohannes Tadesse

2007

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Differentially Homogeneous Algebras

Pedro de Salas

Journal of Algebra, 1999

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Gröbner Bases: An Introduction and Some Applications

Dr. Srinivasarao Thota

International Virtual FDP on “Frontiers of Mathematics”, 2020

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