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Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical

Author

Listed:
  • Kobiljon Abdurasulov

    (Institute of Mathematics, Uzbekistan Academy of Sciences, 9 University Street, Tashkent 100047, Uzbekistan
    Chirchiq State Pedagogical Institute of Tashkent Region, 104 Amir Temur Street, Tashkent 111700, Uzbekistan)

  • Jobir Adashev

    (Institute of Mathematics, Uzbekistan Academy of Sciences, 9 University Street, Tashkent 100047, Uzbekistan
    Chirchiq State Pedagogical Institute of Tashkent Region, 104 Amir Temur Street, Tashkent 111700, Uzbekistan)

  • Ivan Kaygorodov

    (CMA-UBI, Universidade da Beira Interior, 6200-001 Covilhã, Portugal
    Moscow Center for Fundamental and Applied Mathematics, 119991 Moscow, Russia
    Saint Petersburg State University, 199034 St. Petersburg, Russia)

Abstract

This article is part of a study on solvable Leibniz algebras with a given nilradical. In this paper, solvable Leibniz algebras, whose nilradical is naturally graded quasi-filiform algebra and the complemented space to the nilradical has maximal dimension, are described up to isomorphism.

Suggested Citation

  • Kobiljon Abdurasulov & Jobir Adashev & Ivan Kaygorodov, 2023. "Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical," Mathematics, MDPI, vol. 11(5), pages 1-19, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1120-:d:1078258
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