On Hom-Jacobi algebra structures

Articles in Press

Document Type : Research Paper

Authors

1 Facult\'e des Sciences et Techniques‎, ‎Universit\'e Marien Ngouabi‎‎‎, ‎Brazzaville‎, ‎Congo

2 Ecole Normale Sup\'erieure‎, ‎Universit\'e Marien Ngouabi‎‎‎, ‎Brazzaville‎, ‎Congo‎

Abstract

We define hom-Jacobi algebras as an extension of hom-Poisson algebras and we give some examples. We describe the universal property of first-order hom-differential operators as well as the universal property of first-order hom-differential multi-operators. By using these universal properties, we prove the existence and uniqueness of a canonical purely hom-Jacobi form associated to purely hom-Jacobi algebra.

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Journal of Algebra and Related Topics

Articles in Press, Accepted Manuscript
Available Online from 27 December 2025

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