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Research Article | Open Access

Necessary and sufficient conditions and special cases of Drużkowski matrices

School of Mathematics, Liaoning Normal University, Dalian 116029, China
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Abstract

Drużkowski maps play a significant role in the study of the Jacobian conjecture. To investigate Drużkowski maps, we identified more Drużkowski matrices via quasi-D-nilpotent matrices, and then studied the corresponding Drużkowski maps. Some necessary and sufficient conditions in which quasi-D-nilpotent matrices were Drużkowski matrices were given. In addition, several classes of special Drużkowski matrices were characterized.

Keywords

Drużkowski matrixJacobian conjecturequasi-D-nilpotent matrix
CLC number: 13F20, 14R15

References

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AIMS Mathematics
Volume 11 Issue 4,
April 2026
Pages 11322-11331
DOI: 10.3934/math.2026465

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Tian Y. Necessary and sufficient conditions and special cases of Drużkowski matrices. AIMS Mathematics, 2026, 11(4): 11322-11331. https://doi.org/10.3934/math.2026465

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Received: 05 February 2026
Revised: 17 March 2026
Accepted: 10 April 2026
Published: 22 April 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)