Abstract: | Abstract Let 𝔪 and 𝔫 be two-sided ideals of a Leibniz algebra 𝔤 such that 𝔤 = 𝔪 + 𝔫. The goal of the paper is to achieve the exact sequence Ker(𝔪 𝔫 + 𝔫 𝔪 → 𝔤) → HL 2(𝔤) → HL 2(𝔤/𝔪) ⊕ HL 2(𝔤/𝔫) → 𝔪 ∩ 𝔫/ 𝔪,𝔫] → HL 1(𝔤) → HL 1(𝔤/𝔪) ⊕ HL 1(𝔤/𝔫) → 0, where HL denotes the Leibniz homology with trivial coefficients of a Leibniz algebra and denotes a non-abelian tensor product of Leibniz algebras. |