演化链代数绝对幂零元和幂等元集随时间的行为和动力学

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-12-15 DOI:10.56017/2181-1318.1124

A. Imomkulov

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引用次数: 2

摘要

本文构造了满足Chapman-Kolmogorov方程的三维演化代数族。对于所有这些链，我们研究了重子性质的行为，绝对幂零元素集合的行为以及幂等元素集合随时间的动力学。

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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.

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Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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