@Article{CMR-32-57, author = {Huihui and An and and 18459 and and Huihui An and Zhichun and Wang and and 18460 and and Zhichun Wang}, title = {L-Octo-Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {1}, pages = {57--69}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.01.04}, url = {http://global-sci.org/intro/article_detail/cmr/18662.html} }