Work

Relative Bihom-pre-anti-flexible Algebras : Constructions and Related Algebraic Structures

Year: 2026

Type: preprint

Abstract: In the present work, we set forward and investigate the concept of Pre-Anti-Flexible family algebras and use to define and describe the notions of Ω c -relative BiHom-Anti-Flexible algebras, left and right BiHom-pre-Lie family algebras and Ω c -relative BiHom-Lie algebras. Furthermore, we introduce the notion of Ω c -Relative BiHom-Pre-Anti-Flexible algebras and also using to characterize BiHom-Pre-Anti-Flexible family algebras, left and right pre-Lie family algebras and significant equations associated to these algebraic structures are provided. Finally, we investigate and identify a Rota-Baxter operators on an Ω c -relative BiHom-Anti-Flexible and we demonstrate that both Rota-Baxter operators and its generalsation provide Ω c -relative pre-anti-flexible algebras and connected consequences are derived.

Source: HAL

Authors: Walid, Aloulou, Mansour, Jebli

Institutions: Institut préparatoire aux études d'ingénieurs de Sfax, University of Sousse

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220797472

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