Extending structures for Zinbiel algebras
Rings and Algebras
2023-01-03 v3
Abstract
The extending structures and unified products for Zinbiel algebras are developed. Some special cases of unified products such as crossed products and matched pair of Zinbiel algebras are studied. It is proved that the extending structures can be classified by some non-abelian cohomology theory. One dimensional flag extending structures of Zinbiel algebras are also investigated.
Cite
@article{arxiv.2203.15692,
title = {Extending structures for Zinbiel algebras},
author = {Tao Zhang and Ling Zhang},
journal= {arXiv preprint arXiv:2203.15692},
year = {2023}
}
Comments
19pages, a primary edition. Continues arXiv:2112.11977; arXiv:0706.3282