@article{Hu2022, 
author = {Xianguo Hu},
title = {Universal enveloping Hom-algebras of regular Hom-Poisson algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {5712-5727},
keywords = {regular Hom-algebras, involutive Hom-algebras, Hom-Poisson algebras, Hom-Poisson modules, universal enveloping Hom-algebras},
url = {https://www.sciopen.com/article/10.3934/math.2022316},
doi = {10.3934/math.2022316},
abstract = {In this paper, we introduce universal enveloping Hom-algebras of Hom-Poisson algebras. Some properties of universal enveloping Hom-algebras of regular Hom-Poisson algebras are discussed. Furthermore, in the involutive case, it is proved that the category of involutive Hom-Poisson modules over an involutive Hom-Poisson algebra    A is equivalent to the category of involutive Hom-associative modules over its universal enveloping Hom-algebra        U          e      h        (  A  ).}
}