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2006

2006

The Jacobian Conjecture can be generalized and is established : Let S be a polynomial ring over a field of characteristic zero in… Expand

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2005

2005

Abstract
The multidimensional sum with polynomial coefficients is computed with the help of the method of integral representation… Expand

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2002

2002

Abstract. The Jacobian conjecture is an old unsolved problem in mathematics, which has been unsuccessfully attacked from many… Expand

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2001

2001

It is sufficient to consider in the Jacobian Conjecture (for every n > 1) only polynomial mappings of cubic linear form F (x) = x… Expand

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Review

2000

Review

2000

In this paper we give an update survey of the most important results concerning the Jacobian conjecture: several equivalent… Expand

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1998

1998

This paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result… Expand

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1997

1997

VLADIMIR SHPILRAIN AND JIE-TAI YUAbstract. Let K[x,y] be the polynomial algebra in two variables over a ﬁeldK of characteristic 0… Expand

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1995

1995

Let F, G E C[x, y]. If the Jacobian determinant of F and G is 1, then G is said to be a Jacobian mate of F. If, in addition, G… Expand

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1993

1993

Abstract Adjamagbo, K. and A. van den Essen, Eulerian operators and the Jacobian Conjecture, III, Journal of Pure and Applied… Expand

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Highly Cited

1982

Highly Cited

1982

Introduction I. The Jacobian Conjecture 1. Statement of the Jacobian Problem; first observations 2. Some history of the Jacobian… Expand

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