Work

Lagrange theorem and isomorphism theorems in BiHom-groups

Year: 2026

Type: article

Abstract: BiHom-groups are a nonassociative generalization of groups with the associativity law replaced by a twisted associativity law: α(a)(bc)=(ab)β(c), where α and β are two multiplicative mappings. The objective of this paper is to introduce and study BiHom-groups. We define the concept and provide examples of BiHom-groups. Additionally, we establish fundamental properties such as normal BiHom-subgroups, BiHom-quotient groups, and homomorphisms of BiHom-groups, and present the first, second, and third isomorphism theorems for BiHom-groups.

Source: Journal of Geometry and Physics

DOI: 10.1016/j.geomphys.2026.106007

Authors: Ahmed Benkahla, Zoheir Chebel, Hadjer Adimi, Sergei Silvestrov

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: Ministère de l'Enseignement Supérieur et de la Recherche Scientifique

Award: G9000357140