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arXiv · 1312.5710

Splitting of operations for alternative and Malcev structures

Sara Madariaga
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Abstract

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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Sara Madariaga. 2015-10-23. Splitting of operations for alternative and Malcev structures. https://arxiv.org/abs/1312.5710

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