paper

Extending structures for Zinbiel algebras

arXiv:2203.15692

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.

19pages, a primary edition. Continues arXiv:2112.11977; arXiv:0706.3282