PreprintCC BY 4.0arXiv
On nilpotency in pre - Lie algebras
Abstract
The authors consider several variants of the notion of nilpotency in pre-Lie algebras and investigate the properties of nilpotent ideals.
Related
- Nilpotency and nil subvarieties of binary Zinbiel algebras
- Lower and Upper Lie Nilpotency Indices of Modular Group Algebras
- Lie nilpotency index of skew symmetric elements in group algebras
- (Super)nilpotency and solvability in algebras with zero
- Homotopical Nilpotency and Homology Nilpotency: A Dimension--Connectivity Bound
BibTeX
@misc{kurdachenko2026nilpotency,
title = {{On nilpotency in pre - Lie algebras}},
author = {Leonid Kurdachenko and Igor Subbotin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32830},
eprint = {2609.32830},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32830},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On nilpotency in pre - Lie algebras
AU - Leonid Kurdachenko
AU - Igor Subbotin
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.32830
UR - https://arxiv.org/abs/2609.32830
AB - The authors consider several variants of the notion of nilpotency in pre-Lie algebras and investigate the properties of nilpotent ideals.
ER -