O‘zbekiston matematika jurnali Volume 69 Issue 4 (2025) · pp. 40-45

Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform

Bozorova, S.N., Choriyeva, I.B.

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Abstract

In this paper, we classify the symmetric Leibniz algebras whose underlying Lie algebra is almost filiform. We also describe the symmetric Leibniz algebras associated with Heisenberg and triangular Lie algebras. Moreover, we prove that there is no symmetric Leibniz algebra whose underlying Lie algebra is perfect.

Lie algebras, symmetric Leibniz algebras, perfect algebras, almost filiform Lie algebras

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Cite

APA 7 
Bozorova, S.N. & Choriyeva, I.B. (2025). Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform. O‘zbekiston matematika jurnali, 69(4), 40-45.
GOST R 7.0.5 
Bozorova, S.N., Choriyeva, I.B. Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform // O‘zbekiston matematika jurnali. 2025. Т. 69. № 4. С. 40-45.
BibTeX 
@article{s.n.2025,
  author  = {Bozorova, S.N. and Choriyeva, I.B.},
  title   = {Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {4},
  pages   = {40-45}
}
RIS 
TY  - JOUR
AU  - Bozorova, S.N.
AU  - Choriyeva, I.B.
TI  - Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 4
SP  - 40
EP  - 45
ER  -