TY - JOUR
T1 - L-Octo-Algebras
AU - An , Huihui
AU - Wang , Zhichun
JO - Communications in Mathematical Research 
VL - 1
SP - 57
EP - 69
PY - 2021
DA - 2021/03
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.01.04
UR - https://global-sci.org/intro/article_detail/cmr/18662.html
KW - L-octo-algebra, L-quadri-algebra, bimodule.
AB - <p style="text-align: justify;">L-octo-algebra with 8 operations as the Lie algebraic analogue of octo-algebra such that the sum of 8 operations is a Lie algebra is discussed. Any octo-algebra is an L-octo-algebra. The relationships among L-octo-algebras, L-quadri-algebras, L-dendriform algebras, pre-Lie algebras and Lie algebras are given. The
close relationships between L-octo-algebras and some interesting structures like Rota-Baxter operators, classical Yang-Baxter equations and some bilinear forms satisfying
certain conditions are given also.</p>