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Description of Three Dimensional Solvable Evaluation Algebras

In: International Conference on Mathematical Sciences and Statistics 2013

Author

Listed:
  • Farrukh Mukhamedov

    (International Islamic University Malaysia, Department of Computational & Theoretical Sciences, Faculty of Science)

  • Bakhrom Omirov

    (National University of Uzbekistan, Institute of Mathematics)

  • Izzat Qaralleh

    (International Islamic University Malaysia, Department of Computational & Theoretical Sciences, Faculty of Science)

Abstract

The concept of evolution algebras lies between algebras and dynamical system. In this paper we are going to describe three dimensional nilpotent, solvable evolution algebras. It is seen that three dimensional nilpotent evolution algebras are classified into three classes, and solvable ones are classified into five classes.

Suggested Citation

  • Farrukh Mukhamedov & Bakhrom Omirov & Izzat Qaralleh, 2014. "Description of Three Dimensional Solvable Evaluation Algebras," Springer Books, in: Adem Kilicman & Wah June Leong & Zainidin Eshkuvatov (ed.), International Conference on Mathematical Sciences and Statistics 2013, edition 127, pages 165-174, Springer.
    • Handle: RePEc:spr:sprchp:978-981-4585-33-0_17
    DOI: 10.1007/978-981-4585-33-0_17
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