中文

filiform Zinbiel 代数的中心扩张

环与代数 2020-09-03 v1

摘要

本文描述了所有复零 filiform 与 filiform Zinbiel 代数的中心扩张(同构意义下)。我们证明了 nn 维零 filiform Zinbiel 代数的每个非分裂中心扩张均同构于一个 (n+1)(n+1) 维零 filiform Zinbiel 代数。此外,我们得到了所有两两不同构的拟 filiform Zinbiel 代数。

关键词

引用

@article{arxiv.2009.00988,
  title  = {Central extensions of filiform Zinbiel algebras},
  author = {Luisa M. Camacho and Iqboljon Karimjanov and Ivan Kaygorodov and Abror Khudoyberdiyev},
  journal= {arXiv preprint arXiv:2009.00988},
  year   = {2020}
}

备注

arXiv admin note: substantial text overlap with arXiv:1809.00183, arXiv:1904.00845, arXiv:1812.01442, arXiv:1803.07698