2020•Bulletin of National University of Uzbekistan Mathematics and Natural SciencesOpen access

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

Anvar Imomkulov

Abstract

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.

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Key concepts: Idempotence, Nilpotent, Mathematics, Set (abstract data type), Chain (unit), Property (philosophy), Pure mathematics, Construct (python library)