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The Algebraic Classification of Nilpotent Bicommutative Algebras

  • Published:2023-02-03 Issue:3 Volume:11 Page:777
  • ISSN:2227-7390
  • Container-title:Mathematics
  • language:en
  • Short-container-title:Mathematics

Author:

Abdurasulov Kobiljon1,Kaygorodov Ivan234ORCID,Khudoyberdiyev Abror15ORCID

Affiliation:

1. Institute of Mathematics Academy of Sciences of Uzbekistan, Tashkent 100047, Uzbekistan

2. CMA-UBI, Universidade da Beira Interior, 6200-001 Covilhã, Portugal

3. Moscow Center for Fundamental and Applied Mathematics, 119991 Moscow, Russia

4. Saint Petersburg State University, 199034 St. Petersburg, Russia

5. National University of Uzbekistan, Tashkent 100174, Uzbekistan

Abstract

This paper is devoted to the complete algebraic classification of complex five-dimensional nilpotent bicommutative algebras.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference27 articles.

1. Local finite basis property and local representability of varieties of associative rings;Belov;Izv. Math.,2010

2. The classification of nilpotent Lie-Yamaguti algebras;Abdelwahab;Linear Algebra Its Appl.,2022

3. The algebraic classification and degenerations of nilpotent Poisson algebras;Abdelwahab;J. Algebra,2023

4. The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four;Abdelwahab;Rev. Real Acad. Cienc. Exactas, Físicas Nat. Ser. A Matemáticas,2023

5. The algebraic and geometric classification of transposed Poisson algebras;Beites;Rev. Real Acad. Cienc. Exactas, Físicas Nat. Ser. A Matemáticas,2023

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