On images of locally finite derivations and -derivations |
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Authors: | Arno van den Essen Wenhua Zhao |
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Affiliation: | 1. Department of Mathematics, Radboud University Nijmegen, The Netherlands;2. Department of Mathematics, Illinois State University, Normal, IL 61761, United States of America |
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Abstract: | Some cases of the LFED Conjecture, proposed by the second author [15], for certain integral domains are proved. In particular, the LFED Conjecture is completely established for the field of fractions of the polynomial algebra , the formal power series algebra and the Laurent formal power series algebra , where denotes n commutative free variables and k a field of characteristic zero. Furthermore, the relation between the LFED Conjecture and the Duistermaat–van der Kallen Theorem [3] is also discussed and emphasized. |
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Keywords: | 47B47 08A35 16W25 16D99 |
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