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On n-Hom-pre-Lie superalgebras structures and their representations

Published 1 Sep 2022 in math.RA | (2209.00165v1)

Abstract: In this paper, we introduce the notion of n-Hom-pre-Lie superalgebras. We investigate the representation theory of n-Hom-pre-Lie superalgebras and we give some related results and structures based on Rota-Baxter operators, O-operators and Nijenhuis operators. Moreover, we study relationships between n-Hom-pre-Lie superalgebras and its induced Hom-pre-Lie superalgebras. The same procedure is applied for the representations of n- Hom-pre-Lie superalgebras.

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Authors (2)

  1. Othmen Ncib 
  2. Sihem Sendi 

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