Volterra evolution algebras and their graphs

Izzat Qaralleh; Farrukh Mukhamedov

doi:10.1080/03081087.2019.1664387

Volterra evolution algebras and their graphs

Izzat Qaralleh, Farrukh Mukhamedov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we introduce Volterra evolution algebras which are evolution algebras whose structural matrices are described by skew symmetric matrices. A main result of the present paper gives a connection between such kind of algebras with ergodicities of Volterra quadratic stochastic operators. Furthermore, some of the properties of the considered algebras such as nilpotency, derivations have been studied as well.

Original language	English
Pages (from-to)	2228-2244
Number of pages	17
Journal	Linear and Multilinear Algebra
Volume	69
Issue number	12
DOIs	https://doi.org/10.1080/03081087.2019.1664387
Publication status	Published - 2021

Keywords

Evolution algebra
Volterra quadratic stochastic operator
derivation
isomorphism
nilpotent

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/03081087.2019.1664387

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keywords = "Evolution algebra, Volterra quadratic stochastic operator, derivation, isomorphism, nilpotent",

author = "Izzat Qaralleh and Farrukh Mukhamedov",

note = "Funding Information: The second named author (F.M.) thanks the United Arab Emirates University (UAEU) grant Start-Up 2016 No. 31S259 for support. Publisher Copyright: {\textcopyright} 2019 Informa UK Limited, trading as Taylor & Francis Group.",

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AU - Mukhamedov, Farrukh

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N2 - In this paper, we introduce Volterra evolution algebras which are evolution algebras whose structural matrices are described by skew symmetric matrices. A main result of the present paper gives a connection between such kind of algebras with ergodicities of Volterra quadratic stochastic operators. Furthermore, some of the properties of the considered algebras such as nilpotency, derivations have been studied as well.

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KW - Volterra quadratic stochastic operator

KW - derivation

KW - isomorphism

KW - nilpotent

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ER -

Volterra evolution algebras and their graphs

Abstract

Keywords

ASJC Scopus subject areas

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