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1

Magic Squares and Linear Algebra

Arno Van Den Essen

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 390 KB

english, 1990

2

Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture

Arno van den Essen, Engelbert Hubbers

Journal:

Linear Algebra and its Applications

Year:

1996

Language:

english

File:

PDF, 616 KB

english, 1996

3

The Jacobian Conjecture: Linear triangularization for homogeneous polynomial maps in dimension three

Michiel de Bondt, Arno van den Essen

Journal:

Journal of Algebra

Year:

2005

Language:

english

File:

PDF, 118 KB

english, 2005

4

A New Class of Invertible Polynomial Maps

Arno van den Essen, Engelbert Hubbers

Journal:

Journal of Algebra

Year:

1997

Language:

english

File:

PDF, 175 KB

english, 1997

5

Locally nilpotent derivations and their applications, III

Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1995

Language:

english

File:

PDF, 539 KB

english, 1995

6

Meromorphic differential equations having all monomials as solutions

Arno van den Essen

Journal:

Archiv der Mathematik

Year:

1992

Language:

english

File:

PDF, 393 KB

english, 1992

7

Multimagic Squares

Harm Derksen, Christian Eggermont and Arno van den Essen

Journal:

American Mathematical Monthly

Year:

2007

Language:

english

File:

PDF, 958 KB

english, 2007

8

Algebraic micro-localization

Den Essen, Arno Van

Journal:

Communications in Algebra

Year:

1986

Language:

english

File:

PDF, 1.07 MB

english, 1986

9

Multimagic Squares

Derksen, Harm, Eggermont, Christian, van den Essen, Arno

Journal:

American Mathematical Monthly

Year:

2007

Language:

english

File:

PDF, 320 KB

english, 2007

10

Dn(A) for a Class of Polynomial Automorphisms and Stably Tameness

Arno van den Essen, Engelbert Hubbers

Journal:

Journal of Algebra

Year:

1997

Language:

english

File:

PDF, 238 KB

english, 1997

11

New Stably Tame Automorphisms of Polynomial Algebras

Vesselin Drensky, Arno van den Essen, Dimitre Stefanov

Journal:

Journal of Algebra

Year:

2000

Language:

english

File:

PDF, 93 KB

english, 2000

12

A differential criterion and formula for the inversion of a polynomial map in several variables

Kossivi Adjamagbo, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1990

Language:

english

File:

PDF, 205 KB

english, 1990

13

Singular Hessians

Michiel de Bondt, Arno van den Essen

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 125 KB

english, 2004

14

On the Image Conjecture

Arno van den Essen, David Wright, Wenhua Zhao

Journal:

Journal of Algebra

Year:

2011

Language:

english

File:

PDF, 216 KB

english, 2011

15

Nilpotent Jacobians in dimension three

Marc Chamberland, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

2006

Language:

english

File:

PDF, 148 KB

english, 2006

16

Polynomial automorphisms and invariants

Arno van den Essen, Ronen Peretz

Journal:

Journal of Algebra

Year:

2003

Language:

english

File:

PDF, 201 KB

english, 2003

17

Stable tameness of two-dimensional polynomial automorphisms over a regular ring

Joost Berson, Arno van den Essen, David Wright

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 264 KB

english, 2012

18

The Strong Factorial Conjecture

Edo, Eric, van den Essen, Arno

Journal:

Journal of Algebra

Year:

2014

Language:

english

File:

PDF, 289 KB

english, 2014

19

Rings of Constants of the Form k [ f ]

Essen, Arno van den, Ollagnier, Jean Moulin, Nowicki, Andrzej

Journal:

Communications in Algebra

Year:

2006

Language:

english

File:

PDF, 122 KB

english, 2006

20

A criterion to decide if a polynomial map is invertible and to compute the inverse

Arno van, den Essen

Journal:

Communications in Algebra

Year:

1990

Language:

english

File:

PDF, 118 KB

english, 1990

21

Eulerian Operators and the Jacobian Conjecture

Arno van den Essen

Journal:

Proceedings of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 180 KB

english, 1993

22

Coordinates in Two Variables over a Q-Algebra

Arno van den Essen and Peter van Rossum

Journal:

Transactions of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 1.13 MB

english, 2004

23

Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows, Morphisms, and Ga-Actions. II

Arno Van Den Essen

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 317 KB

english, 1994

24

Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows and Polynomial Morphism

Arno Van Den Essen

Journal:

Proceedings of the American Mathematical Society

Year:

1992

Language:

english

File:

PDF, 382 KB

english, 1992

25

Chaotic Polynomial Automorphisms: Counterexamples to Several Conjectures

Arno van den Essen, Engelbert Hubbers

Journal:

Advances in Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 143 KB

english, 1997

26

A Polynomial Counterexample to the Markus–Yamabe Conjecture

Anna Cima, Arno van den Essen, Armengol Gasull, Engelbert Hubbers, Francesc Mañosas

Journal:

Advances in Mathematics

Year:

1997

Language:

english

File:

PDF, 256 KB

english, 1997

27

An Algorithm To Compute The Invariant Ring Of A Ga-action On An Affine Variety

Arno van den Essen

Journal:

Journal of Symbolic Computation

Year:

1993

File:

PDF, 159 KB

1993

28

A resultant criterion and formula for the inversion of a polynomial map in two variables

Kossivi Adjamagbo, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1990

Language:

english

File:

PDF, 365 KB

english, 1990

29

Eulerian systems of partial differential equations and the Jacobian conjecture

Kossivi Adjamagbo, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1991

Language:

english

File:

PDF, 1.40 MB

english, 1991

30

A new inversion formula for a polynomial map in two variables

Kossivi Adjamagbo, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1991

Language:

english

File:

PDF, 181 KB

english, 1991

31

Eulerian operators and the Jacobian Conjecture, III

Kossivi Adjamagbo, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1992

Language:

english

File:

PDF, 395 KB

english, 1992

32

On the reconstruction of polynomial automorphisms from their face polynomials

Arno van den Essen, Micha⋦ Kwieciński

Journal:

Journal of Pure and Applied Algebra

Year:

1992

Language:

english

File:

PDF, 612 KB

english, 1992

33

A remark on the two-dimensional Jacobian conjecture

Arno van den Essen, Halszka Tutaj

Journal:

Journal of Pure and Applied Algebra

Year:

1994

Language:

english

File:

PDF, 216 KB

english, 1994

34

Jacobian pairs, D-resultants, and automorphisms of the plane

L. Andrew Campbell, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1995

Language:

english

File:

PDF, 693 KB

english, 1995

35

A class of triangular derivations having a slice

Christian Eggermont, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

1997

Language:

english

File:

PDF, 459 KB

english, 1997

36

Polynomial maps and a conjecture of Samuelson

Arno van den Essen, T. Parthasarathy

Journal:

Linear Algebra and its Applications

Year:

1992

Language:

english

File:

PDF, 268 KB

english, 1992

37

The Jacobian conjecture for symmetric Jacobian matrices

Arno van den Essen, Sherwood Washburn

Journal:

Journal of Pure and Applied Algebra

Year:

2004

Language:

english

File:

PDF, 247 KB

english, 2004

38

Nilpotent symmetric Jacobian matrices and the Jacobian conjecture

Michiel de Bondt, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

2004

Language:

english

File:

PDF, 221 KB

english, 2004

39

On the recognition problem of quasi-homogeneous locally nilpotent derivations in dimension three

Arno van den Essen, Daan Holtackers

Journal:

Journal of Pure and Applied Algebra

Year:

2004

Language:

english

File:

PDF, 210 KB

english, 2004

40

Nilpotent symmetric Jacobian matrices and the Jacobian Conjecture II

Michiel de Bondt, Arno van den Essen

Journal:

Journal of Pure and Applied Algebra

Year:

2005

Language:

english

File:

PDF, 242 KB

english, 2005

41

The special automorphism group of and coordinates of a subring of

Arno van den Essen, Stefan Maubach, Stéphane Vénéreau

Journal:

Journal of Pure and Applied Algebra

Year:

2007

Language:

english

File:

PDF, 222 KB

english, 2007

42

Graphs and the Jacobian conjecture

Arno van den Essen, Roel Willems

Journal:

Journal of Pure and Applied Algebra

Year:

2008

Language:

english

File:

PDF, 413 KB

english, 2008

43

Two results on homogeneous Hessian nilpotent polynomials

Arno van den Essen, Wenhua Zhao

Journal:

Journal of Pure and Applied Algebra

Year:

2008

Language:

english

File:

PDF, 251 KB

english, 2008

44

A note on -automorphisms in two variables

Eric Edo, Arno van den Essen, Stefan Maubach

Journal:

Journal of Pure and Applied Algebra

Year:

2009

Language:

english

File:

PDF, 390 KB

english, 2009

45

Images of locally finite derivations of polynomial algebras in two variables

Arno van den Essen, David Wright, Wenhua Zhao

Journal:

Journal of Pure and Applied Algebra

Year:

2011

Language:

english

File:

PDF, 231 KB

english, 2011

46

A counterexample to Meisters' cubic-linear linearization Conjecture

Arno van den Essen

Journal:

Indagationes Mathematicae

Year:

1998

Language:

english

File:

PDF, 427 KB

english, 1998

47

Some combinatorial questions about polynomial mappings

Arno van den Essen, Vladimir Shpilrain

Journal:

Journal of Pure and Applied Algebra

Year:

1997

Language:

english

File:

PDF, 353 KB

english, 1997

48

An algorithm to find a coordinate’s mate

Joost Berson, Arno van den Essen

Journal:

Journal of Symbolic Computation

Year:

2003

Language:

english

File:

PDF, 175 KB

english, 2003

49

The kernel and cokernel of a differential operator in several variables. II

Arno van den Essen

Journal:

Indagationes Mathematicae (Proceedings)

Year:

1983

Language:

english

File:

PDF, 147 KB

english, 1983

50

Derivations having divergence zero onR[X,Y]

Joost Berson, Arno van den Essen, Stefan Maubach

Journal:

Israel Journal of Mathematics

Year:

2001

Language:

english

File:

PDF, 403 KB

english, 2001

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