Splitting of operations for alternative and Malcev structures
classification
🧮 math.RA
keywords
alternativealgebrasoperationsquadri-algebrassplittingbimodulesconstructionsdefine
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In this paper we define pre-Malcev algebras and alternative quadri-algebras and prove that they generalize pre-Lie algebras and quadri-algebras respectively to the alternative setting. Constructions in terms bimodules, splitting of operations, and Rota-Baxter operators are discussed.
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