O-operators of ternary Jordan algebras and ternary Jordan Yang-Baxter equations

被引：1

作者：

Chtioui, Taoufik ^{[1
]}

Hajjaji, Atef ^{[1
]}

Mabrouk, Sami ^{[2
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, BP 1171, Sfax 3038, Tunisia

[2] Univ Gafsa, Fac Sci Gafsa, Gafsa 2112, Tunisia

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 02期

关键词：

Ternary Jordan algebras; ternary Jordan Yang-Baxter equation; O-operator; ternary pre-Jordan algebras; PRODUCTS; TRIPLES; LIE;

D O I：

10.1142/S1793557123500262

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the representation of ternary Jordan algebras which allows us to introduce the notion of coherent ternary Jordan algebras. Then the O-operators of ternary Jordan algebras are introduced and the solutions of ternary Jordan Yang-Baxter equation are discussed involving O-operators. Moreover, ternary pre-Jordan algebras are studied as the algebraic structure behind the O-operators. Finally, the relations among ternary Jordan algebras and ternary pre-Jordan algebras are established and illustrated by examples.

引用

页数：22

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