Volterra evolution algebras and their graphs

被引：21
作者：
Qaralleh, Izzat [1 ]
Mukhamedov, Farrukh [2 ]
机构：
[1] Tafila Tech Univ, Fac Sci, Dept Math, Tafila, Jordan
[2] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain, U Arab Emirates
来源：
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 12期
关键词：
Evolution algebra; Volterra quadratic stochastic operator; nilpotent; isomorphism; derivation; QUADRATIC STOCHASTIC OPERATORS; DYNAMICS;
D O I：
10.1080/03081087.2019.1664387
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：2228 / 2244
页数：17
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