Giving the Identity of Two-Dimensional Endo-Commutative Algebras By Structure Constants
Keywords:
structure constants, endo-commutative algebrasAbstract
We examine the identity of so-called endo-commutative algebras in this study. It is evident from the character required to denote this class that the item in this class efficiently maintains the square of components. This concise and straightforward explanation makes use of a recent finding by one of the authors regarding the representation of the category of all two-dimensional algebras over any elementary field.
References
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S.-E. Takahasi, K. Shirayanagi, M. Tsukada, A classification of two-dimensional endo-commutative algebras over F2, arXiv:2211.04015v1 [math.RA] 8 Nov 2022
H. Ahmed, U. Bekbaev, I. Rakhimov, Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras, International Journal of Algebra and Computation, 2020, 30(5 ), 903 – 929.
H. Ahmed, U. Bekbaev, and I. Rakhimov, Complete classification of two-dimensional algebras, AIP Conf. Proc., 1830, 070016 (2017). https://doi.org/10.1063/1.4980965
S. Albeverio, B.A. Omirov, I.S. Rakhimov, Classification of 4-dimensional nilpotent complex Leibniz algebras, Extracta mathematicae, 2006, 21(3), 197–210.
U. Bekbaev, Classification of two-dimensional algebras over any basic field, Journal of Physics: Conference Series, 2023
U. Bekbaev, On classification of finite dimensional algebras, arXiv:1504.01194, 2015, pp. 1–8.
S.-E. Takahasi, K. Shirayanagi, M. Tsukada, A classification of two-dimensional endo-commutative algebras over F2, arXiv:2211.04015v1 [math.RA] 8 Nov 2022
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Published
2023-12-17
How to Cite
Asrorov Diyorjon Usmonovich. (2023). Giving the Identity of Two-Dimensional Endo-Commutative Algebras By Structure Constants. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 4(12), 77–80. Retrieved from https://cajmtcs.casjournal.org/index.php/CAJMTCS/article/view/578
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