Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform

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

O‘zbekiston matematika jurnali · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarBozorova , S.N., Choriyeva , I.B.
JurnalO‘zbekiston matematika jurnali
NashriyotЎзбекистон Республикаси ФА Математика институти
ISSN2010-7269
Nashr sanasi2025-11-03
Jild69
Son4
Betlar40-45
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.29229/uzmj.2025-4-5
Indeksga qo‘shilgan2026-08-26

DOI: 10.29229/uzmj.2025-4-5 · Maqolaning asl sahifasi

Kalit so‘zlar

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

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APABozorova , S.N., & Choriyeva , I.B. (2025). Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform. O‘zbekiston matematika jurnali, 69(4), 40-45. https://doi.org/10.29229/uzmj.2025-4-5
GOST (OAK)Bozorova , S.N., Choriyeva , I.B. Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 40-45. – DOI: 10.29229/uzmj.2025-4-5.
MLABozorova , S.N., and Choriyeva , I.B. “Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform.” O‘zbekiston matematika jurnali, 69(4), 40-45, 2025. https://doi.org/10.29229/uzmj.2025-4-5
ChicagoBozorova , S.N., and Choriyeva , I.B. “Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform.” O‘zbekiston matematika jurnali, 69(4), 40-45 (2025). https://doi.org/10.29229/uzmj.2025-4-5
HarvardBozorova , S.N., and Choriyeva , I.B (2025) ‘Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform’, O‘zbekiston matematika jurnali, 69(4), 40-45. https://doi.org/10.29229/uzmj.2025-4-5
BibTeX
@article{bozorovasn2025,
  title = {Symmetric Leibniz algebras whose underlying Lie algebra is almost filiform},
  author = {Bozorova , S.N. and Choriyeva , I.B.},
  journal = {O‘zbekiston matematika jurnali},
  year = {2025},
  volume = {69},
  number = {4},
  pages = {40-45},
  doi = {10.29229/uzmj.2025-4-5},
  url = {https://doi.org/10.29229/uzmj.2025-4-5}
}

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