On properties of some nilpotent evolution algebras and their enveloping algebras

被引：1

作者：

Alarafeen, Ahmad ^{[1
]}

Ahmad, Azhana ^{[1
]}

Qaralleh, Izzat ^{[2
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia

[2] Tafila Tech Univ, Fac Sci, Dept Math, Tafila, Jordan

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 12期

关键词：

Evolution algebra; nilpotent; derivation; enveloping algebras;

D O I：

10.1142/S0219498823502596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider n-dimensional nilpotent finite-dimensional evolution algebras with non-maximal index of nilpotency. We give complete invariants of these algebras in order to classify them. Then, we describe their associative enveloping algebras. We also give a positive answer to the question whether a derivation of this nilpotent evolution algebra is possible to be extended to its enveloping algebra.

引用

页数：20

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