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Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

Kobiljon AbdurasulovNational University of Uzbekistan, Tashkent, UzbekistanB. A. OmirovNational University of Uzbekistan, Tashkent, UzbekistanI. S. RakhimovNational University of Uzbekistan, Tashkent, UzbekistanG.O. SolijanovaNational University of Uzbekistan, TAshkent, Uzbekistan
arXiv (Cornell University)repository2021en
ABI

Abstract

In the paper the class of all solvable extensions of a filiform Leibniz algebra in the infinite-dimensional case is classified. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of residually solvable Leibniz algebra. It is proven that the second cohomology group of the extension is trivial.

Topics

Advanced Topics in AlgebraAlgebraic structures and combinatorial modelsAdvanced Algebra and Geometry

Identifiers

DOI
10.48550/arxiv.2104.00557

Citations and references

Cited by 025 references
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