Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras

被引：2
|
作者：
Laraiedh, Ismail [1 ,2 ]
机构：
[1] Shaqra Univ, Coll Sci & Humanities Al Quwaiiyah, Dept Math, Shaqra 11971, Saudi Arabia
[2] Sfax Univ, Fac Sci, Dept Math, BP 1171, Sfax 3000, Tunisia
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 03期
关键词：
noncommutative BiHom-(pre)-Poisson algebras; bimodules; matched pairs; O-operator; VIRASORO ALGEBRA; LIE-ALGEBRAS; DEFORMATIONS;
D O I：
10.15672/hujms.905013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to introduce the notion of noncommutative BiHom-pre-Poisson algebra. Also, we establish the bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras. Their related relevant properties are also given. Finally, we exploit the notion of O-operator to illustrate the relations existing between noncommuta-tive BiHom-Poisson and noncommutative BiHom pre-Poisson algebras.
引用
收藏
页码：673 / 697
页数：25
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