Deformations of relative Rota–Baxter operators on Leibniz algebras
2020 ◽
Vol 17
(12)
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pp. 2050174
In this paper, we introduce the cohomology theory of relative Rota–Baxter operators on Leibniz algebras. We use the cohomological approach to study linear and formal deformations of relative Rota–Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations. Formal deformations and extendibility of order [Formula: see text] deformations of a relative Rota–Baxter operator are also characterized in terms of the cohomology theory.
1964 ◽
Vol 113
(1)
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pp. 40-40
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2010 ◽
Vol 38
(10)
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pp. 3671-3685
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1988 ◽
Vol 103
(3)
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pp. 427-449
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On the Universal $$\alpha $$ α -Central Extension of the Semi-direct Product of Hom-Leibniz Algebras
2015 ◽
Vol 39
(4)
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pp. 1579-1602
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