Nilpotence, weak nilpotence, and the nil property in the nonassociative world: 
computations and conjectures

Dotsenko, Vladimir

doi:10.1080/10586458.2024.2410985

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Nilpotence, weak nilpotence, and the nil property in the nonassociative world: computations and conjectures

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Dotsenko, Vladimir
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2306.11362
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https://doi.org/10.1080/10586458.2024.2410985
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mpim-preprint_2022-21.pdf
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Citation

Dotsenko, V. (in press). Nilpotence, weak nilpotence, and the nil property in the nonassociative world: computations and conjectures. Experimental Mathematics, Published Online - Print pending. doi:10.1080/10586458.2024.2410985.

Cite as: https://hdl.handle.net/21.11116/0000-000F-9ACE-C

Abstract

We present some results, both rigorously mathematical and computational, showing unexpected relations between different identities expressing nilpotence in nonassociative algebras, and formulate a number of conjectural generalizations and related questions.