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Cohomologies and linear deformations of pre-Jacobi-Jordan algebras (2508.03076v1)
Published 5 Aug 2025 in math.RA
Abstract: The purpose of this paper is to introduce an algebraic cohomology theory of left pre-Jacobi-Jordan algebras. We use the cohomological approach to study linear deformations of these algebras. We also introduce the notion of Nijenhuis operators on pre-Jacobi-Jordan algebras and we show that the deformation generated by a Nijenhuis operator is trivial.