Z2 MAYDONDA IKKI VA UCH O‘LCHAMLI EVOLYUTSION ALGEBRALARNING TASNIFI
At present, one of the important directions in modern algebra is the study of the theory of evolution algebras. Evolution algebras are connected to various other areas of mathematics, including graph theory, Markov processes, and dynamical systems. The class of evolution algebras was first introduced by Lyubich in 1992. In 2008, Tian, in his monograph, used the term evolution algebra and presented certain applications and properties of these algebras. This paper provides a classification of two- and three-dimensional evolution algebras over the field Z2
1. J.P. Tian, Evolution algebras and their applications. Lecture Notes in Mathematics, 1921, Springer-Verlag,
Berlin, 2008.
2. J.M. Casas, M. Ladra, B.A. Omirov and U.A. Rozikov, On evolution algebras. Algebra Colloq. 21(2),
331-324, 2014.
3. Cabrera Casado, Yolanda; Siles Molina, Mercedes; Velasco, M. Victoria, (2017), Classification of threedimensional
evolution algebras, Linear Algebra Appl. 254, pp.68-108.
4. Sh.N. Murodov, Classification of two-dimensional real evolution algebras and dynamics of some twodimensional
chains of evolution algebras. Uzb.Mat.jour. 2 pp.102-111. 2014.
5. A.N. Imomkulov, Classification of a family of three-dimensional real evolution algebras. TWMS J. Pure
Appl. Math.2019. V. 10. 2 p. 225-238.
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