The Novikov coalgebras


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Authors

  • D. Kozybaev L. N. Gumilyov Eurasian National University
  • A. Naurazbekova L. N. Gumilyov Eurasian National University

DOI:

https://doi.org/10.32523/2616-7182/bulmathenu.2022/2.1

Keywords:

coalgebra, Novikov coalgebra, left-symmetric coalgebra, variety

Abstract

: In the present paper, necessary and sufficient conditions are found under which a coalgebra is a left-symmetric coalgebra. A method for constructing coalgebras is described. An example of a left-symmetric coalgebra is constructed. Necessary and sufficient conditions are given under which a left-symmetric coalgebra is a Novikov coalgebra. An example of a non-locally finite Novikov coalgebra is constructed.

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Published

2022-06-30

How to Cite

Kozybaev Д., & Naurazbekova А. (2022). The Novikov coalgebras. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 139(2), 6–11. https://doi.org/10.32523/2616-7182/bulmathenu.2022/2.1

Issue

Vol. 139 No. 2 (2022)

Section

Статьи