Zinbiel 2-algebras
Rings and Algebras
2021-06-15 v2
Abstract
The notions of Zinbiel 2-algebras and 2-term -algebras are introduced. It is proved that the category of Zinbiel 2-algebras and the category of -term -algebras are equivalent to each other. Crossed module extensions of Zinbiel algebras are studied. Relationship between Zinbiel 2-algebras and dendriform 2-algebras are found.
Cite
@article{arxiv.2104.12551,
title = {Zinbiel 2-algebras},
author = {Tao Zhang},
journal= {arXiv preprint arXiv:2104.12551},
year = {2021}
}
Comments
14pages, an improvement of arxiv:2104.12551v1 with some words and formulas corrected. This is also a primary edition, something should be modified in the future