Research Article

On new classes of chains of evolution algebras

Volume: 50 Number: 1 February 4, 2021
EN

On new classes of chains of evolution algebras

Abstract

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

Keywords

Supporting Institution

Agencia Estatal de Investigación (Spain) and Xunta de Galicia (European FEDER support included, UE).

Project Number

MTM2016-79661-P and ED431C 2019/10

Thanks

We sincerely acknowledge Professor U.A. Rozikov for helpful discussions.

References

  1. [1] V.M. Abraham, Linearizing quadratic transformations in genetic algebras, Proc. Lon- don Math. Soc. (3), 40 (2), 346–363, 1980.
  2. [2] Y. Cabrera Casado, Evolution algebras, Ph.D. thesis, Universidad de Málaga, 2016, http://hdl.handle.net/10630/14175.
  3. [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. [4] J.M. Casas, M. Ladra and U.A. Rozikov, A chain of evolution algebras, Linear Algebra Appl. 435 (4), 852–870, 2011.
  5. [5] J.M. Casas, M. Ladra, B.A. Omirov and U.A. Rozikov, On evolution algebras, Algebra Colloq. 21 (2), 331–342, 2014.
  6. [6] I.M.H. Etherington, Genetic algebras, Proc. Roy. Soc. Edinburgh, 59, 242–258, 1939.
  7. [7] I.M.H. Etherington, Duplication of linear algebras, Proc. Edinburgh Math. Soc. (2), 6, 222–230, 1941.
  8. [8] I.M.H. Etherington, Non-associative algebra and the symbolism of genetics, Proc. Roy. Soc. Edinburgh. Sect. B. 61, 24–42, 1941.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 4, 2021

Submission Date

July 28, 2019

Acceptance Date

May 20, 2020

Published in Issue

Year 2021 Volume: 50 Number: 1

APA
Ladra, M., & Murodov, S. N. (2021). On new classes of chains of evolution algebras. Hacettepe Journal of Mathematics and Statistics, 50(1), 146-158. https://doi.org/10.15672/hujms.597790
AMA
1.Ladra M, Murodov SN. On new classes of chains of evolution algebras. Hacettepe Journal of Mathematics and Statistics. 2021;50(1):146-158. doi:10.15672/hujms.597790
Chicago
Ladra, Manuel, and Sherzod N. Murodov. 2021. “On New Classes of Chains of Evolution Algebras”. Hacettepe Journal of Mathematics and Statistics 50 (1): 146-58. https://doi.org/10.15672/hujms.597790.
EndNote
Ladra M, Murodov SN (February 1, 2021) On new classes of chains of evolution algebras. Hacettepe Journal of Mathematics and Statistics 50 1 146–158.
IEEE
[1]M. Ladra and S. N. Murodov, “On new classes of chains of evolution algebras”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 1, pp. 146–158, Feb. 2021, doi: 10.15672/hujms.597790.
ISNAD
Ladra, Manuel - Murodov, Sherzod N. “On New Classes of Chains of Evolution Algebras”. Hacettepe Journal of Mathematics and Statistics 50/1 (February 1, 2021): 146-158. https://doi.org/10.15672/hujms.597790.
JAMA
1.Ladra M, Murodov SN. On new classes of chains of evolution algebras. Hacettepe Journal of Mathematics and Statistics. 2021;50:146–158.
MLA
Ladra, Manuel, and Sherzod N. Murodov. “On New Classes of Chains of Evolution Algebras”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 1, Feb. 2021, pp. 146-58, doi:10.15672/hujms.597790.
Vancouver
1.Manuel Ladra, Sherzod N. Murodov. On new classes of chains of evolution algebras. Hacettepe Journal of Mathematics and Statistics. 2021 Feb. 1;50(1):146-58. doi:10.15672/hujms.597790

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