
doi: 10.3934/math.2022316
<abstract><p>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_{eh}(A) $.</p></abstract>
hom-poisson algebras, universal enveloping hom-algebras, QA1-939, involutive hom-algebras, regular hom-algebras, hom-poisson modules, Mathematics
hom-poisson algebras, universal enveloping hom-algebras, QA1-939, involutive hom-algebras, regular hom-algebras, hom-poisson modules, Mathematics
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