arXiv subjects

Anvar Imomkulov

Publications and source records attributed to Anvar Imomkulov.

2 recordsLinked to original sources

arXiv2020

Behavior and dynamics of the set of absolute nilpotent and idempotent elements of chain of evolution algebras depending on the time

In this paper we construct some families of three-dimensional evolution algebras which satisfies Chapman-Kolmogorov equation. For all of these chains we study the behavior of the baric property, the behavior of the set of absolute nilpotent elements and dynamics of the set of idempotent elements depending on the time.

math.RA↗

arXiv2019

Classification of a family of three dimensional real evolution algebras

In this paper we classify a family of three-dimensional real evolution algebras. We also consider an evolution operator for an evolution algebra and find fixed points of this operator for two and three-dimensional cases. Then we construct an evolution algebra, the matrix of structural constants of which is Jacobian of the evolution operator at a fixed point. We study isomorphism between these evolution algebras.

math.RA↗