Cohomology and Deformation theory of Modified Rota-Baxter Leibniz algebras

Abstract

In this paper, we define the cohomology of a modified Rota-Baxter Leibniz algebra with coefficients in a suitable representation. As applications of our cohomology, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter Leibniz algebras.

16 pages, we already submitted the paper in mid-October. arXiv admin note: substantial text overlap with arXiv:2204.00160, arXiv:2204.13518, arXiv:2108.06744 by other authors

Cited by in corpus (1)

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