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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 1

On new classes of chains of evolution algebras

Manuel Ladra(University of Santiago de Compostela)0000-0002-0543-4508
Sherzod N. Murodov(University of Santiago de Compostela)0000-0002-4149-8816
Sayfa
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Yayın Tarihi
2021-02-04
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The paper is devoted to studying new classes of chains of evolution algebras and their time-depending dynamics and property transition.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The paper is devoted to studying new classes of chains of evolution algebras and their time-depending dynamics and property transition.
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Temel Bulgular & Veri:The paper is devoted to studying new classes of chains of evolution algebras and their time-depending dynamics and property transition.
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Sonuç & Katkı:The paper is devoted to studying new classes of chains of evolution algebras and their time-depending dynamics and property transition.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Evolution algebra · time · Chapman-Kolmogorov equation

Abstract

The paper is devoted to studying new classes of chains of evolution algebras and their time-depending dynamics and property transition.

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Bu Makaleye Atıf Yap

Ladra, M., Murodov, S. N. (2021). On new classes of chains of evolution algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 1. https://doi.org/10.15672/hujms.597790

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Kaynakça (28)

  1. V.M. Abraham, Linearizing quadratic transformations in genetic algebras, Proc. Lon- don Math. Soc. (3), 40 (2), 346–363, 1980.
  2. Y. Cabrera Casado, Evolution algebras, Ph.D. thesis, Universidad de Málaga, 2016, http://hdl.handle.net/10630/14175.
  3. M.I. Cardoso Gonçalves, D. Gonçalves, D. Martín Barquero, C. Martín González and M. Siles Molina, Squares and Associative Representations of two Dimen- sional Evolution Algebras, J. Algebra Appl., 2020, doi: https://doi.org/10.1142/ S0219498821500900.
  4. J.M. Casas, M. Ladra and U.A. Rozikov, A chain of evolution algebras, Linear Algebra Appl. 435 (4), 852–870, 2011.
  5. J.M. Casas, M. Ladra, B.A. Omirov and U.A. Rozikov, On evolution algebras, Algebra Colloq. 21 (2), 331–342, 2014.
  6. I.M.H. Etherington, Genetic algebras, Proc. Roy. Soc. Edinburgh, 59, 242–258, 1939.
  7. I.M.H. Etherington, Duplication of linear algebras, Proc. Edinburgh Math. Soc. (2), 6, 222–230, 1941.
  8. I.M.H. Etherington, Non-associative algebra and the symbolism of genetics, Proc. Roy. Soc. Edinburgh. Sect. B. 61, 24–42, 1941.
  9. O.J. Falcón, R.M. Falcón and J. Núñez, Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field, J. Algebra, 472, 573–593, 2017.
  10. V. Glivenkov, Algèbre Mendelienne, C. R. (Doklady) Acad. Sci. URSS, 4, 385–386, 1936.
  11. H. Gonshor, Contributions to genetic algebras. II, Proc. Edinburgh Math. Soc. (2), 18, 273–279, 1973.
  12. I. Heuch, Sequences in genetic algebras for overlapping generations, Proc. Edinburgh Math. Soc. (2), 18, 19–29, 1972.
  13. P. Holgate, Sequences of powers in genetic algebras, J. London Math. Soc. 42, 489– 496, 1967.
  14. P. Holgate, Selfing in genetic algebras, J. Math. Biology, 6, 197–206, 1978.
  15. V.A. Kostitzin, Sur les coefficients mendéliens d’hérédité, C. R. Acad. Sci. Paris, 206, 883–885, 1938.
  16. Y.I. Lyubich, Mathematical structures in population genetics, Springer-Verlag, Berlin, 1992.
  17. G. Mendel, Experiments in plant-hybridization, 1865. The Electronic Scholarly Pub- lishing Project http://www.esp.org/foundations/genetics/classical/gm-65.pdf.
  18. Sh.N. Murodov, Classification dynamics of two-dimensional chains of evolution alge- bras, Internat. J. Math. 25 (2), 1450012, 23 pp., 2014.
  19. Sh.N. Murodov, Classification of two-dimensional real evolution algebras and dynamics of some two-dimensional chains of evolution algebras, Uzbek. Mat. Zh. 2014 (2), 102–111, 2014.
  20. M.L. Reed, Algebraic structure of genetic inheritance, Bull. Amer. Math. Soc. (N.S.), 34 (2), 107–130, 1997.
  21. O. Reiersöl, Genetic algebras studied recursively and by means of differential opera- tors, Math. Scand. 10, 25–44, 1962.
  22. U.A. Rozikov and Sh.N. Murodov, Dynamics of two-dimensional evolution algebras, Lobachevskii J. Math. 34 (4), 344–358, 2013.
  23. U.A. Rozikov and J.P. Tian, Evolution algebras generated by Gibbs measures, Lobachevskii J. Math. 32 (4), 270–277, 2011.
  24. R.D. Schafer, An introduction to nonassociative algebras, Academic Press, New York, 1966.
  25. A. Serebrowsky, On the properties of the Mendelian equations, C. R. (Doklady) Acad. Sci. URSS 2, 33–39, 1934 (in Russian).
  26. J.P. Tian, Evolution algebras and their applications, Lecture Notes in Mathematics 1921, Springer-Verlag, Berlin, 2008.
  27. J.P. Tian and P. Vojtechovsky, Mathematical concepts of evolution algebras in non- Mendelian genetics, Quasigroups Related Systems 14, 111–122, 2006.
  28. A. Wörz-Busekros, Algebras in genetics, Lecture Notes in Biomathematics 36, Springer-Verlag, Berlin-New York, 1980.