Z2 MAYDONDA IKKI VA UCH O‘LCHAMLI EVOLYUTSION ALGEBRALARNING TASNIFI
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Hozirgi vaqtda zamonaviy algebraning muhim yo‘nalishlaridan biri evolyutsion algebralar
nazariyasini tadqiq qilishdir. Evolyutsion algebralar matematikaning boshqa sohalari, jumladan
graflar nazariyasi, Markov jarayonlari, dinamik sistemalar bilan bog‘liq. Evolyutsion algebralar sinfi
birinchi marta Lyubich tomonidan 1992 yilda kiritilgan. 2008 yilda Tian o‘zining monografiyasida
evolyutsion algebra atamasini ishlatib, bu algebralarning tadbiqlari va ba’zi xossalarini keltirib
o‘tgan. Bu maqolada Z2 maydonda ikki va uch o‘lchamli evolyutsion algebralar tasnifi keltirilgan.
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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