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

页码：673 / 697

页数：25

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